orcid.org/0000-0001-5389-9361.
For citations, see Google Scholar.
I also have profiles on LinkedIn, ResearchGate, and Mendeley, but these profiles are not frequently updated. All the references below are also available as a single BibTeX file. [Sort by year] [Sort by topic] [Sort by type]
Forthcoming
- Optimal control of multi-agent systems with processing delays (arXiv)
M. Kashyap and L. Lessard. Preprint. - Information-theoretic multi-time-scale partially observable systems with relevance to leukemia treatment (arXiv)
M.P. Chapman, E. Jensen, S.M. Chan, and L. Lessard. Preprint. - The speed-robustness trade-off for first-order methods with additive gradient noise (arXiv)
B. Van Scoy and L. Lessard. Preprint. - An automatic system to detect equivalence between algorithms (arXiv)
S. Zhao, L. Lessard, and M. Udell. Preprint. - Optimal control for LQG systems on graphs—Part I: structural results (arXiv)
A. Nayyar and L. Lessard. Preprint.
2023
- Automated Lyapunov analysis of primal-dual optimization algorithms: An interpolation approach (arXiv)
B. Van Scoy, J.W. Simpson-Porco, and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - A tutorial on a Lyapunov-based approach to the analysis of iterative optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - A tutorial on the structure of distributed optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - Generalized necessary and sufficient robust boundedness results for feedback systems (arXiv)
S. Cyrus and L. Lessard. IEEE Transactions on Automatic Control, 68(9), 5693–5698, Sep 2023. - Shape optimization of hypersonic lifting vehicles via convex relaxation
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA Aviation Forum, 1–12, Jun 2023. (San Diego, CA) - Guaranteed stability margins for decentralized linear quadratic regulators (arXiv)
M. Kashyap and L. Lessard. IEEE Control Systems Letters, 7, 1778–1782, May 2023. - Convex optimization of low observability hypersonic vehicles
D.C. Berkenstock, J.J. Alonso, and L. Lessard. IEEE Aerospace Conference, 1–11, Mar 2023. (Big Sky, MT) - Convex optimization of thin airfoils using cubic splines
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA SciTech Forum, 1–15, Jan 2023. (National Harbor, MD) - Unifying effects of direct and relational associations for visual communication (arXiv)
M.A. Schoenlein, J. Campos, K.J. Lande, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 29(1), 385–395, Jan 2023.
2022
- Absolute stability via lifting and interpolation (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 6217–6223, Dec 2022. (Cancún, Mexico) - Information structures of the Kalman filter for the elastic wave equation
J. Arbelaiz, E. Jensen, B. Bamieh, A.E. Hosoi, A. Jadbabaie, and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 1–6, Jul 2022. (Zürich, Switzerland) - A convex optimization approach to thin airfoil design
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA Aviation Forum, 1–15, Jun 2022. (Chicago, IL) - A universal decomposition for distributed optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. IEEE Control Systems Letters, 6, 3044–3049, Jun 2022. - The analysis of optimization algorithms: A dissipativity approach (arXiv)
L. Lessard. IEEE Control Systems Magazine, 42(3), 58–72, Jun 2022. - Near-optimal local convergence of alternating gradient descent-ascent for minimax optimization (arXiv)
G. Zhang, Y. Wang, L. Lessard, and R. Grosse. International Conference on Artificial Intelligence and Statistics, 7659–7679, Mar 2022. (Valencia, Spain, virtual) - Context matters: A theory of semantic discriminability for perceptual encoding systems (arXiv)
K. Mukherjee, B. Yin, B.E. Sherman, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 28(1), 697–706, Jan 2022.
2021
- A unified analysis of first-order methods for smooth games via integral quadratic constraints (arXiv)
G. Zhang, X. Bao, L. Lessard, and R. Grosse. Journal of Machine Learning Research, 22(103), 1–39, Jun 2021. - Toward a scalable upper bound for a CVaR-LQ problem (arXiv)
M.P. Chapman and L. Lessard. IEEE Control Systems Letters, 6, 920–925, Jun 2021. - Analysis of biased stochastic gradient descent using sequential semidefinite programs (arXiv)
B. Hu, P. Seiler, and L. Lessard. Mathematical Programming, 187(1), 384–408, May 2021. - Semantic discriminability for visual communication (arXiv)
K.B. Schloss, Z. Leggon, and L. Lessard. IEEE Transactions on Visualization and Computer Graphics, 27(2), 1022–1031, Feb 2021.
2020
- Systematic analysis of distributed optimization algorithms over jointly-connected networks (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 3096–3101, Dec 2020. (Jeju Island, Republic of Korea, virtual) - Agent-level optimal LQG control of dynamically decoupled systems with processing delays (arXiv)
M. Kashyap and L. Lessard. IEEE Conference on Decision and Control, 5980–5985, Dec 2020. (Jeju Island, Republic of Korea, virtual) - Analysis and design of first-order distributed optimization algorithms over time-varying graphs (arXiv)
A. Sundararajan, B. Van Scoy, and L. Lessard. IEEE Transactions on Control of Network Systems, 7(4), 1597–1608, Dec 2020. - The relation between color and spatial structure for interpreting colormap data visualizations
S.C. Sibrel, R. Rathore, L. Lessard, and K.B. Schloss. Journal of Vision, 20(12), 7, Nov 2020. - Direct synthesis of iterative algorithms with bounds on achievable worst-case convergence rate (arXiv)
L. Lessard and P. Seiler. American Control Conference, 119–125, Jul 2020. (Denver, CO, virtual) - Online data poisoning attacks (arXiv)
X. Zhang, X. Zhu, and L. Lessard. Conference on Learning for Dynamics and Control, 201–210, Jun 2020. (Berkeley, CA, virtual) - Estimating color-concept associations from image statistics (arXiv)
R. Rathore, Z. Leggon, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 26(1), 1226–1235, Jan 2020.
2019
- Unified necessary and sufficient conditions for the robust stability of interconnected sector-bounded systems (arXiv)
S. Cyrus and L. Lessard. IEEE Conference on Decision and Control, 7690–7695, Dec 2019. (Nice, France) - Integral quadratic constraints: Exact convergence rates and worst-case trajectories (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 7677–7682, Dec 2019. (Nice, France) - Explicit agent-level optimal cooperative controllers for dynamically decoupled systems with output feedback (arXiv)
M. Kashyap and L. Lessard. IEEE Conference on Decision and Control, 8254–8259, Dec 2019. (Nice, France) - A distributed optimization algorithm over time-varying graphs with efficient gradient evaluations (arXiv)
B. Van Scoy and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 357–362, Sep 2019. (Chicago, IL) - A canonical form for first-order distributed optimization algorithms (arXiv)
A. Sundararajan, B. Van Scoy, and L. Lessard. American Control Conference, 4075–4080, Jul 2019. (Philadelphia, PA) - An optimal control approach to sequential machine teaching (arXiv)
L. Lessard, X. Zhang, and X. Zhu. International Conference on Artificial Intelligence and Statistics, 2495–2503, Apr 2019. (Naha, Japan)
2018
- Design considerations for the enhancement of human color vision by breaking binocular redundancy (arXiv)
B. Gundlach, M. Frising, A. Shahsafi, G. Vershbow, C. Wan, J. Salman, B. Rokers, L. Lessard, and M. Kats. Scientific Reports, 8, 11971, Aug 2018. - Dissipativity theory for accelerating stochastic variance reduction: A unified analysis of SVRG and Katyusha using semidefinite programs (arXiv)
B. Hu, S. Wright, and L. Lessard. International Conference on Machine Learning, 2038–2047, Jul 2018. (Stockholm, Sweden) - Lyapunov functions for first-order methods: Tight automated convergence guarantees (arXiv)
A. Taylor, B. Van Scoy, and L. Lessard. International Conference on Machine Learning, 4897–4906, Jul 2018. (Stockholm, Sweden) - A robust accelerated optimization algorithm for strongly convex functions (arXiv)
S. Cyrus, B. Hu, B. Van Scoy, and L. Lessard. American Control Conference, 1376–1381, Jun 2018. (Miwaukee, WI) - Color inference in visual communication: The meaning of colors in recycling
K.B. Schloss, L. Lessard, C.S. Walmsley, and K. Foley. Cognitive Research: Principles and Implications, 3(5), 1–17, Feb 2018.
2017
- Robust convergence analysis of distributed optimization algorithms
A. Sundararajan, B. Hu, and L. Lessard. Allerton Conference on Communication, Control, and Computing, 1206–1212, Oct 2017. (Monticello IL) - Dissipativity theory for Nesterov’s accelerated method (arXiv)
B. Hu and L. Lessard. International Conference on Machine Learning, 1549–1557, Aug 2017. (Sydney, Australia) - Modeling color preference using color space metrics
K.B. Schloss, L. Lessard, C. Racey, and A.C. Hurlbert. Vision Research, 151, 99–116, Jul 2017. - Exponential stability analysis via integral quadratic constraints (arXiv)
R. Boczar, L. Lessard, A. Packard, and B. Recht. - Control interpretations for first-order optimization methods (arXiv)
B. Hu and L. Lessard. American Control Conference, 3114–3119, May 2017. (Seattle, WA)
2016
- Convexity of decentralized controller synthesis (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Automatic Control, 61(10), 3122–3127, Oct 2016. - Analysis and design of optimization algorithms via integral quadratic constraints (arXiv)
L. Lessard, B. Recht, and A. Packard. SIAM Journal on Optimization, 26(1), 57–95, Jan 2016.
2015
- Exponential convergence bounds using integral quadratic constraints (arXiv)
R. Boczar, L. Lessard, and B. Recht. IEEE Conference on Decision and Control, 7516–7521, Dec 2015. (Osaka, Japan) - Compositional performance certification of interconnected systems using ADMM (arXiv)
C. Meissen, L. Lessard, M. Arcak, and A. Packard. Automatica, 61, 55–63, Nov 2015. - Optimal decentralized state-feedback control with sparsity and delays (arXiv)
A. Lamperski and L. Lessard. Automatica, 58, 143–151, Aug 2015. - Optimal control of two-player systems with output feedback (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Automatic Control, 60(8), 2129–2144, Aug 2015. - A general analysis of the convergence of ADMM (arXiv)
R. Nishihara, L. Lessard, B. Recht, A. Packard, and M.I. Jordan. International Conference on Machine Learning, 343–352, Jul 2015. (Lille, France) - Structural results for partially nested LQG systems over graphs
A. Nayyar and L. Lessard. American Control Conference, 5457–5464, Jul 2015. (Chicago, IL)
2014
- Performance certification of interconnected nonlinear systems using ADMM
C. Meissen, L. Lessard, M. Arcak, and A. Packard. IEEE Conference on Decision and Control, 5131–5136, Dec 2014. (Los Angeles, CA) - State-space solution to a minimum-entropy H-infinity optimal control problem with a nested information constraint (arXiv)
L. Lessard. IEEE Conference on Decision and Control, 4026–4031, Dec 2014. (Los Angeles, CA) - An algebraic approach to the control of decentralized systems (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Control of Network Systems, 1(4), 308–317, Dec 2014. - Performance certification of interconnected systems using decomposition techniques
C. Meissen, L. Lessard, and A. Packard. American Control Conference, 5030–5036, Jun 2014. (Portland, OR)
2013
- Structural results and explicit solution for two-player LQG systems on a finite time horizon (arXiv)
L. Lessard and A. Nayyar. IEEE Conference on Decision and Control, 6542–6549, Dec 2013. (Florence, Italy) - A separation principle for decentralized state-feedback optimal control
L. Lessard. Allerton Conference on Communication, Control, and Computing, 528–534, Oct 2013. (Monticello, IL) - On structured realizability and stabilizability of linear systems (arXiv)
L. Lessard, M. Kristalny, and A. Rantzer. American Control Conference, 5694–5700, Jun 2013. (Washington, D.C.)
2012
- Decentralized LQG control of systems with a broadcast architecture
L. Lessard. IEEE Conference on Decision and Control, 6241–6246, Dec 2012. (Maui, HI) - Optimal control of a fully decentralized quadratic regulator
L. Lessard. Allerton Conference on Communication, Control, and Computing, 48–54, Oct 2012. (Monticello, IL) - Optimal state-feedback control under sparsity and delay constraints
A. Lamperski and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 204–209, Sep 2012. (Santa Barbara, CA) - Optimal controller synthesis for the decentralized two-player problem with output feedback
L. Lessard and S. Lall. American Control Conference, 6314–6321, Jun 2012. (Montréal, Canada)
2011 and earlier
- A state-space solution to the two-player decentralized optimal control problem
L. Lessard and S. Lall. Allerton Conference on Communication, Control, and Computing, 1559–1564, Sep 2011. (Monticello, IL) - Tractability of complex control systems (permanant link)
L. Lessard. Ph.D. Thesis, Stanford University, Aug 2011. - Quadratic invariance is necessary and sufficient for convexity
L. Lessard and S. Lall. American Control Conference, 5360–5362, Jun 2011. (San Francisco, CA) - An algebraic framework for quadratic invariance
L. Lessard and S. Lall. IEEE Conference on Decision and Control, 2698–2703, Dec 2010. (Atlanta, GA) - Internal quadratic invariance and decentralized control
L. Lessard and S. Lall. American Control Conference, 5596–5601, Jun 2010. (Baltimore, MD) - Reduction of decentralized control problems to tractable representations
L. Lessard and S. Lall. IEEE Conference on Decision and Control, 1621–1626, Dec 2009. (Shanghai, China) - Experimental validation of single-iteration multigrid wavefront reconstruction at the Palomar Observatory
L. Lessard, D. MacMynowski, M. West, A. Bouchez, and S. Lall. Optics Letters, 33(18), 2047–2049, Sep 2008. - Warm-started wavefront reconstruction for adaptive optics
L. Lessard, M. West, D. MacMynowski, and S. Lall. Journal of the Optical Society of America A, 25(5), 1147–1155, May 2008.
Robust Control and Optimization
- A tutorial on the structure of distributed optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - Automated Lyapunov analysis of primal-dual optimization algorithms: An interpolation approach (arXiv)
B. Van Scoy, J.W. Simpson-Porco, and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - A tutorial on a Lyapunov-based approach to the analysis of iterative optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - Absolute stability via lifting and interpolation (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 6217–6223, Dec 2022. (Cancún, Mexico) - A universal decomposition for distributed optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. IEEE Control Systems Letters, 6, 3044–3049, Jun 2022. - The analysis of optimization algorithms: A dissipativity approach (arXiv)
L. Lessard. IEEE Control Systems Magazine, 42(3), 58–72, Jun 2022. - Near-optimal local convergence of alternating gradient descent-ascent for minimax optimization (arXiv)
G. Zhang, Y. Wang, L. Lessard, and R. Grosse. International Conference on Artificial Intelligence and Statistics, 7659–7679, Mar 2022. (Valencia, Spain, virtual) - The speed-robustness trade-off for first-order methods with additive gradient noise (arXiv)
B. Van Scoy and L. Lessard. Preprint. - A unified analysis of first-order methods for smooth games via integral quadratic constraints (arXiv)
G. Zhang, X. Bao, L. Lessard, and R. Grosse. Journal of Machine Learning Research, 22(103), 1–39, Jun 2021. - Toward a scalable upper bound for a CVaR-LQ problem (arXiv)
M.P. Chapman and L. Lessard. IEEE Control Systems Letters, 6, 920–925, Jun 2021. - An automatic system to detect equivalence between algorithms (arXiv)
S. Zhao, L. Lessard, and M. Udell. Preprint. - Analysis of biased stochastic gradient descent using sequential semidefinite programs (arXiv)
B. Hu, P. Seiler, and L. Lessard. Mathematical Programming, 187(1), 384–408, May 2021. - Systematic analysis of distributed optimization algorithms over jointly-connected networks (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 3096–3101, Dec 2020. (Jeju Island, Republic of Korea, virtual) - Analysis and design of first-order distributed optimization algorithms over time-varying graphs (arXiv)
A. Sundararajan, B. Van Scoy, and L. Lessard. IEEE Transactions on Control of Network Systems, 7(4), 1597–1608, Dec 2020. - Direct synthesis of iterative algorithms with bounds on achievable worst-case convergence rate (arXiv)
L. Lessard and P. Seiler. American Control Conference, 119–125, Jul 2020. (Denver, CO, virtual) - Unified necessary and sufficient conditions for the robust stability of interconnected sector-bounded systems (arXiv)
S. Cyrus and L. Lessard. IEEE Conference on Decision and Control, 7690–7695, Dec 2019. (Nice, France) - Integral quadratic constraints: Exact convergence rates and worst-case trajectories (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 7677–7682, Dec 2019. (Nice, France) - A distributed optimization algorithm over time-varying graphs with efficient gradient evaluations (arXiv)
B. Van Scoy and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 357–362, Sep 2019. (Chicago, IL) - A canonical form for first-order distributed optimization algorithms (arXiv)
A. Sundararajan, B. Van Scoy, and L. Lessard. American Control Conference, 4075–4080, Jul 2019. (Philadelphia, PA) - Lyapunov functions for first-order methods: Tight automated convergence guarantees (arXiv)
A. Taylor, B. Van Scoy, and L. Lessard. International Conference on Machine Learning, 4897–4906, Jul 2018. (Stockholm, Sweden) - Dissipativity theory for accelerating stochastic variance reduction: A unified analysis of SVRG and Katyusha using semidefinite programs (arXiv)
B. Hu, S. Wright, and L. Lessard. International Conference on Machine Learning, 2038–2047, Jul 2018. (Stockholm, Sweden) - A robust accelerated optimization algorithm for strongly convex functions (arXiv)
S. Cyrus, B. Hu, B. Van Scoy, and L. Lessard. American Control Conference, 1376–1381, Jun 2018. (Miwaukee, WI) - Robust convergence analysis of distributed optimization algorithms
A. Sundararajan, B. Hu, and L. Lessard. Allerton Conference on Communication, Control, and Computing, 1206–1212, Oct 2017. (Monticello IL) - Dissipativity theory for Nesterov’s accelerated method (arXiv)
B. Hu and L. Lessard. International Conference on Machine Learning, 1549–1557, Aug 2017. (Sydney, Australia) - Exponential stability analysis via integral quadratic constraints (arXiv)
R. Boczar, L. Lessard, A. Packard, and B. Recht. - Control interpretations for first-order optimization methods (arXiv)
B. Hu and L. Lessard. American Control Conference, 3114–3119, May 2017. (Seattle, WA) - Analysis and design of optimization algorithms via integral quadratic constraints (arXiv)
L. Lessard, B. Recht, and A. Packard. SIAM Journal on Optimization, 26(1), 57–95, Jan 2016. - Exponential convergence bounds using integral quadratic constraints (arXiv)
R. Boczar, L. Lessard, and B. Recht. IEEE Conference on Decision and Control, 7516–7521, Dec 2015. (Osaka, Japan) - A general analysis of the convergence of ADMM (arXiv)
R. Nishihara, L. Lessard, B. Recht, A. Packard, and M.I. Jordan. International Conference on Machine Learning, 343–352, Jul 2015. (Lille, France)
Interconnected Systems
- Generalized necessary and sufficient robust boundedness results for feedback systems (arXiv)
S. Cyrus and L. Lessard. IEEE Transactions on Automatic Control, 68(9), 5693–5698, Sep 2023. - Unified necessary and sufficient conditions for the robust stability of interconnected sector-bounded systems (arXiv)
S. Cyrus and L. Lessard. IEEE Conference on Decision and Control, 7690–7695, Dec 2019. (Nice, France) - Compositional performance certification of interconnected systems using ADMM (arXiv)
C. Meissen, L. Lessard, M. Arcak, and A. Packard. Automatica, 61, 55–63, Nov 2015. - Performance certification of interconnected nonlinear systems using ADMM
C. Meissen, L. Lessard, M. Arcak, and A. Packard. IEEE Conference on Decision and Control, 5131–5136, Dec 2014. (Los Angeles, CA) - Performance certification of interconnected systems using decomposition techniques
C. Meissen, L. Lessard, and A. Packard. American Control Conference, 5030–5036, Jun 2014. (Portland, OR)
Optimal Decentralized Control
- Guaranteed stability margins for decentralized linear quadratic regulators (arXiv)
M. Kashyap and L. Lessard. IEEE Control Systems Letters, 7, 1778–1782, May 2023. - Optimal control of multi-agent systems with processing delays (arXiv)
M. Kashyap and L. Lessard. Preprint. - Agent-level optimal LQG control of dynamically decoupled systems with processing delays (arXiv)
M. Kashyap and L. Lessard. IEEE Conference on Decision and Control, 5980–5985, Dec 2020. (Jeju Island, Republic of Korea, virtual) - Explicit agent-level optimal cooperative controllers for dynamically decoupled systems with output feedback (arXiv)
M. Kashyap and L. Lessard. IEEE Conference on Decision and Control, 8254–8259, Dec 2019. (Nice, France) - Optimal control for LQG systems on graphs—Part I: structural results (arXiv)
A. Nayyar and L. Lessard. Preprint. - Optimal decentralized state-feedback control with sparsity and delays (arXiv)
A. Lamperski and L. Lessard. Automatica, 58, 143–151, Aug 2015. - Optimal control of two-player systems with output feedback (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Automatic Control, 60(8), 2129–2144, Aug 2015. - Structural results for partially nested LQG systems over graphs
A. Nayyar and L. Lessard. American Control Conference, 5457–5464, Jul 2015. (Chicago, IL) - State-space solution to a minimum-entropy H-infinity optimal control problem with a nested information constraint (arXiv)
L. Lessard. IEEE Conference on Decision and Control, 4026–4031, Dec 2014. (Los Angeles, CA) - Structural results and explicit solution for two-player LQG systems on a finite time horizon (arXiv)
L. Lessard and A. Nayyar. IEEE Conference on Decision and Control, 6542–6549, Dec 2013. (Florence, Italy) - A separation principle for decentralized state-feedback optimal control
L. Lessard. Allerton Conference on Communication, Control, and Computing, 528–534, Oct 2013. (Monticello, IL) - On structured realizability and stabilizability of linear systems (arXiv)
L. Lessard, M. Kristalny, and A. Rantzer. American Control Conference, 5694–5700, Jun 2013. (Washington, D.C.) - Decentralized LQG control of systems with a broadcast architecture
L. Lessard. IEEE Conference on Decision and Control, 6241–6246, Dec 2012. (Maui, HI) - Optimal control of a fully decentralized quadratic regulator
L. Lessard. Allerton Conference on Communication, Control, and Computing, 48–54, Oct 2012. (Monticello, IL) - Optimal state-feedback control under sparsity and delay constraints
A. Lamperski and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 204–209, Sep 2012. (Santa Barbara, CA) - Optimal controller synthesis for the decentralized two-player problem with output feedback
L. Lessard and S. Lall. American Control Conference, 6314–6321, Jun 2012. (Montréal, Canada) - A state-space solution to the two-player decentralized optimal control problem
L. Lessard and S. Lall. Allerton Conference on Communication, Control, and Computing, 1559–1564, Sep 2011. (Monticello, IL)
Tractability in the Presence of Information Constraints
- Convexity of decentralized controller synthesis (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Automatic Control, 61(10), 3122–3127, Oct 2016. - An algebraic approach to the control of decentralized systems (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Control of Network Systems, 1(4), 308–317, Dec 2014. - On structured realizability and stabilizability of linear systems (arXiv)
L. Lessard, M. Kristalny, and A. Rantzer. American Control Conference, 5694–5700, Jun 2013. (Washington, D.C.) - Tractability of complex control systems (permanant link)
L. Lessard. Ph.D. Thesis, Stanford University, Aug 2011. - Quadratic invariance is necessary and sufficient for convexity
L. Lessard and S. Lall. American Control Conference, 5360–5362, Jun 2011. (San Francisco, CA) - An algebraic framework for quadratic invariance
L. Lessard and S. Lall. IEEE Conference on Decision and Control, 2698–2703, Dec 2010. (Atlanta, GA) - Internal quadratic invariance and decentralized control
L. Lessard and S. Lall. American Control Conference, 5596–5601, Jun 2010. (Baltimore, MD) - Reduction of decentralized control problems to tractable representations
L. Lessard and S. Lall. IEEE Conference on Decision and Control, 1621–1626, Dec 2009. (Shanghai, China)
Adaptive Optics
- Tractability of complex control systems (permanant link)
L. Lessard. Ph.D. Thesis, Stanford University, Aug 2011. - Experimental validation of single-iteration multigrid wavefront reconstruction at the Palomar Observatory
L. Lessard, D. MacMynowski, M. West, A. Bouchez, and S. Lall. Optics Letters, 33(18), 2047–2049, Sep 2008. - Warm-started wavefront reconstruction for adaptive optics
L. Lessard, M. West, D. MacMynowski, and S. Lall. Journal of the Optical Society of America A, 25(5), 1147–1155, May 2008.
Thin Film Optics
- Design considerations for the enhancement of human color vision by breaking binocular redundancy (arXiv)
B. Gundlach, M. Frising, A. Shahsafi, G. Vershbow, C. Wan, J. Salman, B. Rokers, L. Lessard, and M. Kats. Scientific Reports, 8, 11971, Aug 2018.
Color Modeling
- Unifying effects of direct and relational associations for visual communication (arXiv)
M.A. Schoenlein, J. Campos, K.J. Lande, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 29(1), 385–395, Jan 2023. - Context matters: A theory of semantic discriminability for perceptual encoding systems (arXiv)
K. Mukherjee, B. Yin, B.E. Sherman, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 28(1), 697–706, Jan 2022. - Semantic discriminability for visual communication (arXiv)
K.B. Schloss, Z. Leggon, and L. Lessard. IEEE Transactions on Visualization and Computer Graphics, 27(2), 1022–1031, Feb 2021. - The relation between color and spatial structure for interpreting colormap data visualizations
S.C. Sibrel, R. Rathore, L. Lessard, and K.B. Schloss. Journal of Vision, 20(12), 7, Nov 2020. - Estimating color-concept associations from image statistics (arXiv)
R. Rathore, Z. Leggon, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 26(1), 1226–1235, Jan 2020. - Color inference in visual communication: The meaning of colors in recycling
K.B. Schloss, L. Lessard, C.S. Walmsley, and K. Foley. Cognitive Research: Principles and Implications, 3(5), 1–17, Feb 2018. - Modeling color preference using color space metrics
K.B. Schloss, L. Lessard, C. Racey, and A.C. Hurlbert. Vision Research, 151, 99–116, Jul 2017.
Machine Teaching
- Online data poisoning attacks (arXiv)
X. Zhang, X. Zhu, and L. Lessard. Conference on Learning for Dynamics and Control, 201–210, Jun 2020. (Berkeley, CA, virtual) - An optimal control approach to sequential machine teaching (arXiv)
L. Lessard, X. Zhang, and X. Zhu. International Conference on Artificial Intelligence and Statistics, 2495–2503, Apr 2019. (Naha, Japan)
Aerospace Applications
- Shape optimization of hypersonic lifting vehicles via convex relaxation
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA Aviation Forum, 1–12, Jun 2023. (San Diego, CA) - Convex optimization of low observability hypersonic vehicles
D.C. Berkenstock, J.J. Alonso, and L. Lessard. IEEE Aerospace Conference, 1–11, Mar 2023. (Big Sky, MT) - Convex optimization of thin airfoils using cubic splines
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA SciTech Forum, 1–15, Jan 2023. (National Harbor, MD) - A convex optimization approach to thin airfoil design
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA Aviation Forum, 1–15, Jun 2022. (Chicago, IL)
PDE systems
- Information structures of the Kalman filter for the elastic wave equation
J. Arbelaiz, E. Jensen, B. Bamieh, A.E. Hosoi, A. Jadbabaie, and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 1–6, Jul 2022. (Zürich, Switzerland)
Preprints
- Optimal control of multi-agent systems with processing delays (arXiv)
M. Kashyap and L. Lessard. Preprint. - Information-theoretic multi-time-scale partially observable systems with relevance to leukemia treatment (arXiv)
M.P. Chapman, E. Jensen, S.M. Chan, and L. Lessard. Preprint. - The speed-robustness trade-off for first-order methods with additive gradient noise (arXiv)
B. Van Scoy and L. Lessard. Preprint. - An automatic system to detect equivalence between algorithms (arXiv)
S. Zhao, L. Lessard, and M. Udell. Preprint. - Exponential stability analysis via integral quadratic constraints (arXiv)
R. Boczar, L. Lessard, A. Packard, and B. Recht. - Optimal control for LQG systems on graphs—Part I: structural results (arXiv)
A. Nayyar and L. Lessard. Preprint.
Journal Papers
- Generalized necessary and sufficient robust boundedness results for feedback systems (arXiv)
S. Cyrus and L. Lessard. IEEE Transactions on Automatic Control, 68(9), 5693–5698, Sep 2023. - Guaranteed stability margins for decentralized linear quadratic regulators (arXiv)
M. Kashyap and L. Lessard. IEEE Control Systems Letters, 7, 1778–1782, May 2023. - Unifying effects of direct and relational associations for visual communication (arXiv)
M.A. Schoenlein, J. Campos, K.J. Lande, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 29(1), 385–395, Jan 2023. - A universal decomposition for distributed optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. IEEE Control Systems Letters, 6, 3044–3049, Jun 2022. - The analysis of optimization algorithms: A dissipativity approach (arXiv)
L. Lessard. IEEE Control Systems Magazine, 42(3), 58–72, Jun 2022. - Context matters: A theory of semantic discriminability for perceptual encoding systems (arXiv)
K. Mukherjee, B. Yin, B.E. Sherman, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 28(1), 697–706, Jan 2022. - A unified analysis of first-order methods for smooth games via integral quadratic constraints (arXiv)
G. Zhang, X. Bao, L. Lessard, and R. Grosse. Journal of Machine Learning Research, 22(103), 1–39, Jun 2021. - Toward a scalable upper bound for a CVaR-LQ problem (arXiv)
M.P. Chapman and L. Lessard. IEEE Control Systems Letters, 6, 920–925, Jun 2021. - Analysis of biased stochastic gradient descent using sequential semidefinite programs (arXiv)
B. Hu, P. Seiler, and L. Lessard. Mathematical Programming, 187(1), 384–408, May 2021. - Semantic discriminability for visual communication (arXiv)
K.B. Schloss, Z. Leggon, and L. Lessard. IEEE Transactions on Visualization and Computer Graphics, 27(2), 1022–1031, Feb 2021. - Analysis and design of first-order distributed optimization algorithms over time-varying graphs (arXiv)
A. Sundararajan, B. Van Scoy, and L. Lessard. IEEE Transactions on Control of Network Systems, 7(4), 1597–1608, Dec 2020. - The relation between color and spatial structure for interpreting colormap data visualizations
S.C. Sibrel, R. Rathore, L. Lessard, and K.B. Schloss. Journal of Vision, 20(12), 7, Nov 2020. - Estimating color-concept associations from image statistics (arXiv)
R. Rathore, Z. Leggon, L. Lessard, and K.B. Schloss. IEEE Transactions on Visualization and Computer Graphics, 26(1), 1226–1235, Jan 2020. - Design considerations for the enhancement of human color vision by breaking binocular redundancy (arXiv)
B. Gundlach, M. Frising, A. Shahsafi, G. Vershbow, C. Wan, J. Salman, B. Rokers, L. Lessard, and M. Kats. Scientific Reports, 8, 11971, Aug 2018. - Color inference in visual communication: The meaning of colors in recycling
K.B. Schloss, L. Lessard, C.S. Walmsley, and K. Foley. Cognitive Research: Principles and Implications, 3(5), 1–17, Feb 2018. - Modeling color preference using color space metrics
K.B. Schloss, L. Lessard, C. Racey, and A.C. Hurlbert. Vision Research, 151, 99–116, Jul 2017. - Convexity of decentralized controller synthesis (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Automatic Control, 61(10), 3122–3127, Oct 2016. - Analysis and design of optimization algorithms via integral quadratic constraints (arXiv)
L. Lessard, B. Recht, and A. Packard. SIAM Journal on Optimization, 26(1), 57–95, Jan 2016. - Compositional performance certification of interconnected systems using ADMM (arXiv)
C. Meissen, L. Lessard, M. Arcak, and A. Packard. Automatica, 61, 55–63, Nov 2015. - Optimal decentralized state-feedback control with sparsity and delays (arXiv)
A. Lamperski and L. Lessard. Automatica, 58, 143–151, Aug 2015. - Optimal control of two-player systems with output feedback (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Automatic Control, 60(8), 2129–2144, Aug 2015. - An algebraic approach to the control of decentralized systems (arXiv)
L. Lessard and S. Lall. IEEE Transactions on Control of Network Systems, 1(4), 308–317, Dec 2014. - Experimental validation of single-iteration multigrid wavefront reconstruction at the Palomar Observatory
L. Lessard, D. MacMynowski, M. West, A. Bouchez, and S. Lall. Optics Letters, 33(18), 2047–2049, Sep 2008. - Warm-started wavefront reconstruction for adaptive optics
L. Lessard, M. West, D. MacMynowski, and S. Lall. Journal of the Optical Society of America A, 25(5), 1147–1155, May 2008.
Peer-Reviewed Conference Proceedings
- Automated Lyapunov analysis of primal-dual optimization algorithms: An interpolation approach (arXiv)
B. Van Scoy, J.W. Simpson-Porco, and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - A tutorial on a Lyapunov-based approach to the analysis of iterative optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - A tutorial on the structure of distributed optimization algorithms (arXiv)
B. Van Scoy and L. Lessard. To Appear, IEEE Conference on Decision and Control, 2023. - Shape optimization of hypersonic lifting vehicles via convex relaxation
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA Aviation Forum, 1–12, Jun 2023. (San Diego, CA) - Convex optimization of low observability hypersonic vehicles
D.C. Berkenstock, J.J. Alonso, and L. Lessard. IEEE Aerospace Conference, 1–11, Mar 2023. (Big Sky, MT) - Convex optimization of thin airfoils using cubic splines
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA SciTech Forum, 1–15, Jan 2023. (National Harbor, MD) - Absolute stability via lifting and interpolation (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 6217–6223, Dec 2022. (Cancún, Mexico) - Information structures of the Kalman filter for the elastic wave equation
J. Arbelaiz, E. Jensen, B. Bamieh, A.E. Hosoi, A. Jadbabaie, and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 1–6, Jul 2022. (Zürich, Switzerland) - A convex optimization approach to thin airfoil design
D.C. Berkenstock, J.J. Alonso, and L. Lessard. AIAA Aviation Forum, 1–15, Jun 2022. (Chicago, IL) - Near-optimal local convergence of alternating gradient descent-ascent for minimax optimization (arXiv)
G. Zhang, Y. Wang, L. Lessard, and R. Grosse. International Conference on Artificial Intelligence and Statistics, 7659–7679, Mar 2022. (Valencia, Spain, virtual) - Systematic analysis of distributed optimization algorithms over jointly-connected networks (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 3096–3101, Dec 2020. (Jeju Island, Republic of Korea, virtual) - Agent-level optimal LQG control of dynamically decoupled systems with processing delays (arXiv)
M. Kashyap and L. Lessard. IEEE Conference on Decision and Control, 5980–5985, Dec 2020. (Jeju Island, Republic of Korea, virtual) - Direct synthesis of iterative algorithms with bounds on achievable worst-case convergence rate (arXiv)
L. Lessard and P. Seiler. American Control Conference, 119–125, Jul 2020. (Denver, CO, virtual) - Online data poisoning attacks (arXiv)
X. Zhang, X. Zhu, and L. Lessard. Conference on Learning for Dynamics and Control, 201–210, Jun 2020. (Berkeley, CA, virtual) - Unified necessary and sufficient conditions for the robust stability of interconnected sector-bounded systems (arXiv)
S. Cyrus and L. Lessard. IEEE Conference on Decision and Control, 7690–7695, Dec 2019. (Nice, France) - Integral quadratic constraints: Exact convergence rates and worst-case trajectories (arXiv)
B. Van Scoy and L. Lessard. IEEE Conference on Decision and Control, 7677–7682, Dec 2019. (Nice, France) - Explicit agent-level optimal cooperative controllers for dynamically decoupled systems with output feedback (arXiv)
M. Kashyap and L. Lessard. IEEE Conference on Decision and Control, 8254–8259, Dec 2019. (Nice, France) - A distributed optimization algorithm over time-varying graphs with efficient gradient evaluations (arXiv)
B. Van Scoy and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 357–362, Sep 2019. (Chicago, IL) - A canonical form for first-order distributed optimization algorithms (arXiv)
A. Sundararajan, B. Van Scoy, and L. Lessard. American Control Conference, 4075–4080, Jul 2019. (Philadelphia, PA) - An optimal control approach to sequential machine teaching (arXiv)
L. Lessard, X. Zhang, and X. Zhu. International Conference on Artificial Intelligence and Statistics, 2495–2503, Apr 2019. (Naha, Japan) - Dissipativity theory for accelerating stochastic variance reduction: A unified analysis of SVRG and Katyusha using semidefinite programs (arXiv)
B. Hu, S. Wright, and L. Lessard. International Conference on Machine Learning, 2038–2047, Jul 2018. (Stockholm, Sweden) - Lyapunov functions for first-order methods: Tight automated convergence guarantees (arXiv)
A. Taylor, B. Van Scoy, and L. Lessard. International Conference on Machine Learning, 4897–4906, Jul 2018. (Stockholm, Sweden) - A robust accelerated optimization algorithm for strongly convex functions (arXiv)
S. Cyrus, B. Hu, B. Van Scoy, and L. Lessard. American Control Conference, 1376–1381, Jun 2018. (Miwaukee, WI) - Robust convergence analysis of distributed optimization algorithms
A. Sundararajan, B. Hu, and L. Lessard. Allerton Conference on Communication, Control, and Computing, 1206–1212, Oct 2017. (Monticello IL) - Dissipativity theory for Nesterov’s accelerated method (arXiv)
B. Hu and L. Lessard. International Conference on Machine Learning, 1549–1557, Aug 2017. (Sydney, Australia) - Control interpretations for first-order optimization methods (arXiv)
B. Hu and L. Lessard. American Control Conference, 3114–3119, May 2017. (Seattle, WA) - Exponential convergence bounds using integral quadratic constraints (arXiv)
R. Boczar, L. Lessard, and B. Recht. IEEE Conference on Decision and Control, 7516–7521, Dec 2015. (Osaka, Japan) - A general analysis of the convergence of ADMM (arXiv)
R. Nishihara, L. Lessard, B. Recht, A. Packard, and M.I. Jordan. International Conference on Machine Learning, 343–352, Jul 2015. (Lille, France) - Structural results for partially nested LQG systems over graphs
A. Nayyar and L. Lessard. American Control Conference, 5457–5464, Jul 2015. (Chicago, IL) - Performance certification of interconnected nonlinear systems using ADMM
C. Meissen, L. Lessard, M. Arcak, and A. Packard. IEEE Conference on Decision and Control, 5131–5136, Dec 2014. (Los Angeles, CA) - State-space solution to a minimum-entropy H-infinity optimal control problem with a nested information constraint (arXiv)
L. Lessard. IEEE Conference on Decision and Control, 4026–4031, Dec 2014. (Los Angeles, CA) - Performance certification of interconnected systems using decomposition techniques
C. Meissen, L. Lessard, and A. Packard. American Control Conference, 5030–5036, Jun 2014. (Portland, OR) - Structural results and explicit solution for two-player LQG systems on a finite time horizon (arXiv)
L. Lessard and A. Nayyar. IEEE Conference on Decision and Control, 6542–6549, Dec 2013. (Florence, Italy) - A separation principle for decentralized state-feedback optimal control
L. Lessard. Allerton Conference on Communication, Control, and Computing, 528–534, Oct 2013. (Monticello, IL) - On structured realizability and stabilizability of linear systems (arXiv)
L. Lessard, M. Kristalny, and A. Rantzer. American Control Conference, 5694–5700, Jun 2013. (Washington, D.C.) - Decentralized LQG control of systems with a broadcast architecture
L. Lessard. IEEE Conference on Decision and Control, 6241–6246, Dec 2012. (Maui, HI) - Optimal control of a fully decentralized quadratic regulator
L. Lessard. Allerton Conference on Communication, Control, and Computing, 48–54, Oct 2012. (Monticello, IL) - Optimal state-feedback control under sparsity and delay constraints
A. Lamperski and L. Lessard. IFAC Workshop on Distributed Estimation and Control in Networked Systems, 204–209, Sep 2012. (Santa Barbara, CA) - Optimal controller synthesis for the decentralized two-player problem with output feedback
L. Lessard and S. Lall. American Control Conference, 6314–6321, Jun 2012. (Montréal, Canada) - A state-space solution to the two-player decentralized optimal control problem
L. Lessard and S. Lall. Allerton Conference on Communication, Control, and Computing, 1559–1564, Sep 2011. (Monticello, IL) - Quadratic invariance is necessary and sufficient for convexity
L. Lessard and S. Lall. American Control Conference, 5360–5362, Jun 2011. (San Francisco, CA) - An algebraic framework for quadratic invariance
L. Lessard and S. Lall. IEEE Conference on Decision and Control, 2698–2703, Dec 2010. (Atlanta, GA) - Internal quadratic invariance and decentralized control
L. Lessard and S. Lall. American Control Conference, 5596–5601, Jun 2010. (Baltimore, MD) - Reduction of decentralized control problems to tractable representations
L. Lessard and S. Lall. IEEE Conference on Decision and Control, 1621–1626, Dec 2009. (Shanghai, China)
Doctoral Thesis
- Tractability of complex control systems (permanant link)
L. Lessard. Ph.D. Thesis, Stanford University, Aug 2011.