• 733 Citations
  • 16 h-Index
20042020
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Research Output 2004 2019

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 proceedingConference contribution

State-space Representation
Lyapunov Stability
Partial differential equations
Stability Analysis
Partial differential equation

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 proceedingConference contribution

Decentralized control
Decentralized Control
Robot
Robots
Controller

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 proceedingConference contribution

Lyapunov functions
Nonlinear systems
Nonlinear Systems
Trajectories
Trajectory
2018

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 proceedingConference contribution

MIMO systems
Controllers
Convex optimization
Linear systems
Controllers
Closed loop systems
Polynomials

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 proceedingConference contribution

Polynomials
Global optimization
1 Citation (Scopus)

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 proceedingConference contribution

Lyapunov functions
Converse
Lyapunov Function
Lyapunov
Polynomials
2 Citations (Scopus)

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 proceedingConference contribution

Supremum
Electricity
Dynamic programming
Battery
Dynamic Programming
2017
2 Citations (Scopus)

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 proceedingConference contribution

MIMO systems
Controllers
Convex optimization
Testing
5 Citations (Scopus)

A convex sum-of-squares approach to analysis, state feedback and output feedback control of parabolic PDEs

Gahlawat, A. & Peet, M., Apr 1 2017, In : IEEE Transactions on Automatic Control. 62, 4, p. 1636-1651 16 p., 7517344.

Research output: Contribution to journalArticle

State feedback
Partial differential equations
Feedback control
Controllers
Feedback
3 Citations (Scopus)

Inversion of Separable Kernel Operators in Coupled Differential-Functional Equations and Application to Controller Synthesis

Miao, G., Peet, M. & Gu, K., Jul 1 2017, In : IFAC-PapersOnLine. 50, 1, p. 6513-6518 6 p.

Research output: Contribution to journalArticle

Controllers
Time delay
7 Citations (Scopus)

Optimal Thermostat Programming for Time-of-Use and Demand Charges with Thermal Energy Storage and Optimal Pricing for Regulated Utilities

Kamyar, R. & Peet, M., Jul 1 2017, In : IEEE Transactions on Power Systems. 32, 4, p. 2714-2723 10 p., 7592920.

Research output: Contribution to journalArticle

Thermostats
Thermal energy
Energy storage
Electricity
Costs
2016
2 Citations (Scopus)

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 proceedingConference contribution

Energy Storage
Multiobjective Programming
Nonseparable
Constrained optimization
Constrained Optimization
2 Citations (Scopus)

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 proceedingConference contribution

State feedback
Polynomials
Controllers
Lyapunov functions
Mathematical operators
3 Citations (Scopus)

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 proceedingConference contribution

Parabolic PDEs
Output Feedback Control
Sum of squares
Feedback control
Observer
2 Citations (Scopus)

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 proceedingConference contribution

Lyapunov methods
Lyapunov Methods
Linear partial differential equation
Parabolic Partial Differential Equations
Partial differential equations
2015
3 Citations (Scopus)

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 proceedingConference contribution

Thermostats
Electricity
Costs
Dynamic programming
Public utilities
17 Citations (Scopus)
Sum of squares
Stability Analysis
Polynomials
Polynomial
Optimization
2014
3 Citations (Scopus)

Constructing piecewise-polynomial lyapunov functions for local stability of nonlinear systems using Handelman's theorem

Kamyar, R., Murti, C. & Peet, M., 2014, In : Unknown Journal. 2015-February, February, p. 5481-5487 7 p., 7040246.

Research output: Contribution to journalArticle

Piecewise Polynomials
Local Stability
Lyapunov functions
Polynomial function
Systems Analysis
12 Citations (Scopus)

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 proceedingConference contribution

Lyapunov functions
Mathematical operators
Polynomials
Hilbert spaces
Linear systems
2013
3 Citations (Scopus)

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 proceedingConference contribution

Hybrid systems
Polynomials
Lyapunov functions
Asymptotic stability
Dynamical systems
2 Citations (Scopus)

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 proceedingConference contribution

Large-scale Systems
Decentralized
Nonlinear systems
Stability Analysis
Nonlinear Systems
6 Citations (Scopus)

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 proceedingConference contribution

State feedback
Controllers
Time delay
7 Citations (Scopus)

Solving large-scale robust stability problems by exploiting the parallel structure of Polya's theorem

Kamyar, R., Peet, M. & Peet, Y., 2013, In : IEEE Transactions on Automatic Control. 58, 8, p. 1931-1947 17 p., 6482174.

Research output: Contribution to journalArticle

Polynomials
Linear matrix inequalities
Supercomputers
Distributed computer systems
Nonlinear systems
38 Citations (Scopus)

Stability analysis of sampled-data systems using sum of squares

Seuret, A. & Peet, M., 2013, In : IEEE Transactions on Automatic Control. 58, 6, p. 1620-1625 6 p., 6376101.

Research output: Contribution to journalArticle

Linear systems
Sampling

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 proceedingConference contribution

Convex optimization
Derivatives
2012

Accelerating Convergence of Sum-of-Square Stability Analysis of Coupled Differential-Difference Equations

Zhang, Y., Peet, M. & Gu, K., Jan 2012, Time Delay Systems - Methods, Applications and New Trends. Springer Lecture Notes inm Control and Information Science, Vol. 423.

Research output: Chapter in Book/Report/Conference proceedingChapter

20 Citations (Scopus)

A converse sum of squares Lyapunov result with a degree bound

Peet, M. & Papachristodoulou, A., 2012, In : IEEE Transactions on Automatic Control. 57, 9, p. 2281-2293 13 p., 6194280.

Research output: Contribution to journalArticle

Lyapunov functions
Polynomials
Asymptotic stability
Nonlinear systems
20 Citations (Scopus)

A Converse Sum of Squares Lyapunov Result with a Degree Bound

Peet, M. & Papachristodoulou, A., Aug 2012, In : IEEE Transactions on Automatic Control.

Research output: Contribution to journalArticle

A Sum-of-Squares Approach to the Analysis of Zeno Behavior in Hybrid Dy- namical Systems

Murti, C. & Peet, M., 2012.

Research output: Contribution to conferencePaper

11 Citations (Scopus)

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 proceedingConference contribution

Sum of squares
Bootstrap
Polynomials
Shape Constraint
Input Constraints
11 Citations (Scopus)

Bootstrap Current Optimization in Tokamaks Using Sum-of-Squares Polynomials

Gahlawat, A., Witrant, E., Peet, M. & Alamir, M., 2012.

Research output: Contribution to conferencePaper

3 Citations (Scopus)

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 proceedingConference contribution

Cluster computing
Linear matrix inequalities
Parallel algorithms
Scalability
Robust stability
4 Citations (Scopus)

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 proceedingConference contribution

Robust Stability
Large-scale Systems
Hypercube
Decentralized
Large scale systems
4 Citations (Scopus)
1 Citation (Scopus)

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 proceedingConference contribution

time
2011
1 Citation (Scopus)

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 proceedingConference contribution

Decentralized control
Decentralized Control
Immune system
Immune System
Control System
1 Citation (Scopus)

Biological Circuit Models of Immune Regulatory Response: A Decentralized Control System

Peet, M., Kim, P. & Lee, P., Dec 15 2011.

Research output: Contribution to conferencePaper

6 Citations (Scopus)

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 proceedingConference contribution

Safety factor
Polynomials
Controllers
Magnetic flux
State feedback

Control and Verification of the Safety-Factor Profile in Toka- maks Using Sum-of-Squares Polynomials

Gahlawat, A., Peet, M. & Witrant, E., Sep 2 2011.

Research output: Contribution to conferencePaper

8 Citations (Scopus)

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 proceedingConference contribution

Boundary Control
Observer
Heat
Controller
Controllers
8 Citations (Scopus)
5 Citations (Scopus)

On the conservatism of the sum-of-squares method for analysis of time-delayed systems

Peet, M. & Bliman, P. A., Nov 2011, In : Automatica. 47, 11, p. 2406-2411 6 p.

Research output: Contribution to journalArticle

Time delay
Polynomials
5 Citations (Scopus)

On the Conservatism of the Sum-of-Squares Method for Analysis of Time-Delayed Systems

Peet, M. M. & Bliman, P. A., Nov 2011, In : Automatica. 49

Research output: Contribution to journalArticle

12 Citations (Scopus)

Reducing the complexity of the sum-of-squares test for stability of delayed linear systems

Zhang, Y., Peet, M. & Gu, K., Jan 2011, In : IEEE Transactions on Automatic Control. 56, 1, p. 229-234 6 p., 5605235.

Research output: Contribution to journalArticle

Linear systems
Computational complexity
Difference equations
Time delay
Feedback
12 Citations (Scopus)

Reducing the Complexity of the Sum-of-Squares Test for Stability of Delayed Linear Systems

Zhang, Y., Peet, M. & Gu, K., Nov 1 2011, In : IEEE Transactions on Automatic Control. 56

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 proceedingConference contribution

Linear systems
Sampling
4 Citations (Scopus)

SOS for Sampled-Data Systems

Seuret, A. & Peet, M., Sep 2 2011.

Research output: Contribution to conferencePaper

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 proceedingConference contribution

Convergence of numerical methods
Difference equations
Polynomials
Derivatives