Research Output per year

## Research Output 2004 2019

## A New State-Space Representation for Coupled PDEs and Scalable Lyapunov Stability Analysis in the SOS Framework

Peet, M., Jan 18 2019,*2018 IEEE Conference on Decision and Control, CDC 2018.*Institute of Electrical and Electronics Engineers Inc., p. 545-550 6 p. 8619025. (Proceedings of the IEEE Conference on Decision and Control; vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A sum of squares optimization approach to uncertainty quantification

Colbert, B. K., Crespo, L. G. & Peet, M., Jul 1 2019,*2019 American Control Conference, ACC 2019.*Institute of Electrical and Electronics Engineers Inc., p. 5378-5384 7 p. 8814931. (Proceedings of the American Control Conference; vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Computing input-ouput properties of coupled linear PDE systems

Shivakumar, S. & Peet, M., Jul 1 2019,*2019 American Control Conference, ACC 2019.*Institute of Electrical and Electronics Engineers Inc., p. 606-613 8 p. 8814336. (Proceedings of the American Control Conference; vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Decentralized Control of Distributed Actuation in a Segmented Soft Robot Arm

Doroudchi, A., Shivakumar, S., Fisher, R. E., Marvi, H., Aukes, D., He, X., Berman, S. & Peet, M., Jan 18 2019,*2018 IEEE Conference on Decision and Control, CDC 2018.*Institute of Electrical and Electronics Engineers Inc., p. 7002-7009 8 p. 8619036. (Proceedings of the IEEE Conference on Decision and Control; vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Sos for systems with multiple delays: Part 2. H_{∞}-optimal estimation

Peet, M. & Gu, K., Jul 1 2019, *2019 American Control Conference, ACC 2019.*Institute of Electrical and Electronics Engineers Inc., p. 3870-3876 7 p. 8815235. (Proceedings of the American Control Conference; vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## SOS for systems with multiple delays: Part 1. H optimal control

Peet, M. & Gu, K., Jul 1 2019,*2019 American Control Conference, ACC 2019.*Institute of Electrical and Electronics Engineers Inc., p. 3849-3856 8 p. 8814856. (Proceedings of the American Control Conference; vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Using SOS for optimal semialgebraic representation of sets: Finding minimal representations of limit cycles, chaotic attractors and unions

Jones, M. & Peet, M., Jul 1 2019,*2019 American Control Conference, ACC 2019.*Institute of Electrical and Electronics Engineers Inc., p. 2084-2091 8 p. 8814848. (Proceedings of the American Control Conference; vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Using Trajectory Measurements to Estimate the Region of Attraction of Nonlinear Systems

Colbert, B. K. & Peet, M., Jan 18 2019,*2018 IEEE Conference on Decision and Control, CDC 2018.*Institute of Electrical and Electronics Engineers Inc., p. 2341-2347 7 p. 8618959. (Proceedings of the IEEE Conference on Decision and Control; vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A Convex Reformulation of the Controller Synthesis Problem for Infinite-Dimensional Systems using Linear Operator Inequalities (LOIs) with Application to MIMO Multi-Delay Systems

Peet, M., Aug 9 2018,*2018 Annual American Control Conference, ACC 2018.*Institute of Electrical and Electronics Engineers Inc., Vol. 2018-June. p. 3322-3329 8 p. 8430836

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Combining SOS with Branch and Bound to Isolate Global Solutions of Polynomial Optimization Problems

Colbert, B., Mohammadi, H. & Peet, M., Aug 9 2018,*2018 Annual American Control Conference, ACC 2018.*Institute of Electrical and Electronics Engineers Inc., Vol. 2018-June. p. 2190-2197 8 p. 8431203

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Estimating the region of attraction using polynomial optimization: A converse Lyapunov result

Jones, M., Mohammadi, H. & Peet, M., Jan 18 2018,*2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017.*Institute of Electrical and Electronics Engineers Inc., Vol. 2018-January. p. 1796-1802 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Solving dynamic programming with supremum terms in the objective and application to optimal battery scheduling for electricity consumers subject to demand charges

Jones, M. & Peet, M., Jan 18 2018,*2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017.*Institute of Electrical and Electronics Engineers Inc., Vol. 2018-January. p. 1323-1329 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS

Peet, M., Jun 29 2017,*2017 American Control Conference, ACC 2017.*Institute of Electrical and Electronics Engineers Inc., p. 5127-5134 8 p. 7963750

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Multi-objective dynamic programming for constrained optimization of non-separable objective functions with application in energy storage

Kamyar, R. & Peet, M., Dec 27 2016,*2016 IEEE 55th Conference on Decision and Control, CDC 2016.*Institute of Electrical and Electronics Engineers Inc., p. 5348-5353 6 p. 7799089

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Optimal state feedback boundary control of parabolic PDEs using SOS polynomials

Gahlawat, A. & Peet, M., Jul 28 2016,*2016 American Control Conference, ACC 2016.*Institute of Electrical and Electronics Engineers Inc., Vol. 2016-July. p. 4350-4355 6 p. 7525606

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Output feedback control of inhomogeneous parabolic PDEs with point actuation and point measurement using SOS and semi-separable kernels

Gahlawat, A. & Peet, M., Feb 8 2016,*Proceedings of the IEEE Conference on Decision and Control.*Institute of Electrical and Electronics Engineers Inc., Vol. 2016-February. p. 1217-1223 7 p. 7402377

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Stability analysis of parabolic linear PDEs with two spatial dimensions using Lyapunov method and SOS

Meyer, E. & Peet, M., Feb 8 2016,*Proceedings of the IEEE Conference on Decision and Control.*Institute of Electrical and Electronics Engineers Inc., Vol. 2016-February. p. 1884-1890 7 p. 7402485

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Optimal thermostat programming and optimal electricity rates for customers with demand charges

Kamyar, R. & Peet, M., Jul 28 2015,*Proceedings of the American Control Conference.*Institute of Electrical and Electronics Engineers Inc., Vol. 2015-July. p. 4529-4535 7 p. 7172042

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## LMI parametrization of Lyapunov functions for infinite-dimensional systems: A framework

Peet, M., 2014,*Proceedings of the American Control Conference.*Institute of Electrical and Electronics Engineers Inc., p. 359-366 8 p. 6859228

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A sum-of-squares approach to the analysis of Zeno stability in polynomial hybrid systems

Murti, C. & Peet, M., 2013,*2013 European Control Conference, ECC 2013.*p. 1657-1662 6 p. 6669823

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Decentralized Polya's algorithm for stability analysis of large-scale nonlinear systems

Kamyar, R. & Peet, M., 2013,*Proceedings of the IEEE Conference on Decision and Control.*Institute of Electrical and Electronics Engineers Inc., p. 5858-5863 6 p. 6760813

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Full-state feedback of delayed systems using SOS: A new theory of duality

Peet, M., 2013,*IFAC Proceedings Volumes (IFAC-PapersOnline).*p. 24-29 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Stability analysis of state-dependent delay systems using sum-of-squares

Li, B. & Peet, M., 2013,*AIAA Guidance, Navigation, and Control (GNC) Conference.*

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Bootstrap current optimization in Tokamaks using sum-of-squares polynomials

Gahlawat, A., Witrant, E., Peet, M. & Alamir, M., 2012,*Proceedings of the IEEE Conference on Decision and Control.*p. 4359-4365 7 p. 6426638

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Decentralized computation for robust stability analysis of large state-space systems using Polya's theorem

Kamyar, R. & Peet, M., 2012,*Proceedings of the American Control Conference.*p. 5948-5954 7 p. 6315268

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Decentralized computation for robust stability of large-scale systems with parameters on the hypercube

Kamyar, R. & Peet, M. M., 2012,*Proceedings of the IEEE Conference on Decision and Control.*p. 6259-6264 6 p. 6425907

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Positivity of complete quadratic Lyapunov-Krasovskii functionals in time-delay systems

Gu, K., Zhang, Y. & Peet, M., 2012,*Lecture Notes in Control and Information Sciences.*Vol. 423. p. 35-47 13 p. (Lecture Notes in Control and Information Sciences; vol. 423).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Biological circuit models of immune regulatory response: A decentralized control system

Peet, M., Kim, P. & Lee, P. P., 2011,*Proceedings of the IEEE Conference on Decision and Control.*p. 3020-3025 6 p. 6161395

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Control and verification of the safety-factor profile in Tokamaks using sum-of-squares polynomials

Gahlawat, A., Peet, M. & Witrant, E., 2011,*IFAC Proceedings Volumes (IFAC-PapersOnline).*PART 1 ed. Vol. 18. p. 12556-12561 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control

Gahlawat, A. & Peet, M., 2011,*Proceedings of the IEEE Conference on Decision and Control.*p. 6985-6990 6 p. 6161289

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## SOS for sampled-data systems

Seuret, A. & Peet, M., 2011,*IFAC Proceedings Volumes (IFAC-PapersOnline).*PART 1 ed. Vol. 18. p. 1441-1446 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Accelerating convergence of sum-of-square stability analysis of coupled differential-difference equations

Gu, K., Zhang, Y. & Peet, M., 2010,*IFAC Proceedings Volumes (IFAC-PapersOnline).*PART 1 ed. p. 138-143 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A converse sum-of-squares Lyapunov result: An existence proof based on the Picard iteration

Peet, M. & Papachristodoulou, A., 2010,*Proceedings of the IEEE Conference on Decision and Control.*p. 5949-5954 6 p. 5717536

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A parallel-computing solution for optimization of polynomials

Peet, M. & Peet, Y., 2010,*Proceedings of the 2010 American Control Conference, ACC 2010.*p. 4851-4856 6 p. 5530905

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Reducing the computational cost of the Sum-of-Squares stability test for time-delayed systems

Zhang, Y., Peet, M. & Gu, K., 2010,*Proceedings of the 2010 American Control Conference, ACC 2010.*p. 5018-5023 6 p. 5530749

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## A generalized chain rule and a bound on the continuity of solutions and converse Lyapunov functions

Peet, M., 2009,*Proceedings of the IEEE Conference on Decision and Control.*p. 3155-3161 7 p. 5400414

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Inverses of positive linear operators and state feedback design for time-delay systems

Peet, M. & Papachristodoulou, A., 2009,*IFAC Proceedings Volumes (IFAC-PapersOnline).*PART 1 ed. Vol. 8. p. 278-283 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## SOS for nonlinear delayed models in biology and networking

Papachristodoulou, A. & Peet, M., 2009,*Lecture Notes in Control and Information Sciences.*Vol. 388. p. 133-143 11 p. (Lecture Notes in Control and Information Sciences; vol. 388).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## SOS methods for stability analysis of neutral differential Ssystems

Peet, M., Bonnet, C. & Özbay, H., 2009,*Lecture Notes in Control and Information Sciences.*Vol. 388. p. 97-107 11 p. (Lecture Notes in Control and Information Sciences; vol. 388).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Global stability analysis of primal internet congestion control schemes with heterogeneous delays

Papachristodoulou, A. & Peet, M., 2008,*IFAC Proceedings Volumes (IFAC-PapersOnline).*1 PART 1 ed. Vol. 17.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Polynomial Lyapunov functions for exponential stability of nonlinear systems on bounded regions

Peet, M. & Bliman, P. A. J., 2008,*IFAC Proceedings Volumes (IFAC-PapersOnline).*1 PART 1 ed. Vol. 17.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions

Peet, M. & Papachristodoulou, A., 2008,*Proceedings of the IEEE Conference on Decision and Control.*p. 847-852 6 p. 4739245

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Exponentially stable nonlinear systems have polynomial lyapunov functions on bounded regions

Peet, M., 2007,*45th Annual Allerton Conference on Communication, Control, and Computing 2007.*University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, Vol. 2. p. 1074-1081 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Positivity of Kernel functions for systems with communication delay

Peet, M. & Papachristodoulou, A., 2007,*Proceedings of the IEEE Conference on Decision and Control.*p. 2815-2820 6 p. 4434664

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Stability analysis of linear systems with time-varying delays: Delay uncertainty and quenching

Papachristodoulou, A., Peet, M. & Niculescu, S. I., 2007,*Proceedings of the IEEE Conference on Decision and Control.*p. 2117-2122 6 p. 4434764

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## On the analysis of systems described by classes of partial differential equations

Papachristodoulou, A. & Peet, M., 2006,*Proceedings of the IEEE Conference on Decision and Control.*p. 747-752 6 p. 4177885

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Positive forms and stability of linear time-delay systems

Peet, M., Papachristodoulou, A. & Lall, S., 2006,*Proceedings of the IEEE Conference on Decision and Control.*p. 187-193 7 p. 4177975

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Constructing Lyapunov-Krasovskii functionals for linear time delay systems

Papachristodoulou, A., Peet, M. & Lall, S., 2005,*Proceedings of the American Control Conference.*Vol. 4. p. 2845-2850 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## On global stability of internet congestion control

Peet, M. & Lall, S., 2004,*Proceedings of the IEEE Conference on Decision and Control.*Vol. 1. p. 1035-1041 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution