Matthew M. Peet

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 64

Top Topics

Nonlinear Systems

Lyapunov Function

Rheumatoid Arthritis

Stability Analysis

Top Venues

IEEE Control. Syst. Lett.

Publications

Aleksandr Talitckii, Joslyn L. Mangal, Brendon K. Colbert, Abhinav P. Acharya, Matthew M. Peet
Employing Feature Selection Algorithms to Determine the Immune State of a Mouse Model of Rheumatoid Arthritis. IEEE J. Biomed. Health Informatics 28 (4) (2024)
Declan S. Jagt, Matthew M. Peet
-Optimal Estimator Synthesis for Coupled Linear 2D PDEs using Convex Optimization. CoRR (2024)
Yulia T. Peet, Matthew M. Peet
A new treatment of boundary conditions in PDE solution with Galerkin methods via Partial Integral Equation framework. J. Comput. Appl. Math. 442 (2024)
Declan S. Jagt, Matthew M. Peet
Constructive Representation of Functions in N-Dimensional Sobolev Space. CoRR (2023)
Sachin Shivakumar, Amritam Das, Matthew M. Peet
Representation of linear PDEs with spatial integral terms as Partial Integral Equations. ACC (2023)
Aleksandr Talitckii, Matthew M. Peet, Peter Seiler
Integral Quadratic Constraints with Infinite-Dimensional Channels. ACC (2023)
Aleksandr Talitckii, Brendon K. Colbert, Matthew M. Peet
Efficient Convex Algorithms for Universal Kernel Learning. CoRR (2023)
Declan Jagt, Peter J. Seiler, Matthew M. Peet
A PIE Representation of Scalar Quadratic PDEs and Global Stability Analysis Using SDP. CDC (2023)
Morgan Jones, Matthew M. Peet
Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems. ACC (2023)
Lucas L. Fernandes, Morgan Jones, Luís F. C. Alberto, Matthew M. Peet, Daniel Dotta
Combining Trajectory Data With Analytical Lyapunov Functions for Improved Region of Attraction Estimation. IEEE Control. Syst. Lett. 7 (2023)
Declan S. Jagt, Matthew M. Peet
Representation of PDE Systems With Delay and Stability Analysis Using Convex Optimization. IEEE Control. Syst. Lett. 7 (2023)
Declan Jagt, Sachin Shivakumar, Peter Seiler, Matthew M. Peet
Efficient Data Structures for Representation of Polynomial Optimization Problems: Implementation in SOSTOOLS. IEEE Control. Syst. Lett. 6 (2022)
Sachin Shivakumar, Amritam Das, Matthew M. Peet
Representation of linear PDEs with spatial integral terms as Partial Integral Equations. CoRR (2022)
Brendon K. Colbert, Joslyn L. Mangal, Aleksandr Talitckii, Abhinav P. Acharya, Matthew M. Peet
Employing Feature Selection Algorithms to Determine the Immune State of Mice with Rheumatoid Arthritis. CoRR (2022)
Declan S. Jagt, Matthew M. Peet
-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities. CoRR (2022)
Declan S. Jagt, Matthew M. Peet
L2-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities. CDC (2022)
Declan S. Jagt, Matthew M. Peet
A PIE Representation of Coupled Linear 2D PDEs and Stability Analysis using LPIs. ACC (2022)
Declan Jagt, Sachin Shivakumar, Peter Seiler, Matthew M. Peet
Efficient Data Structures for Exploiting Sparsity and Structure in Representation of Polynomial Optimization Problems: Implementation in SOSTOOLS. CoRR (2022)
Sachin Shivakumar, Matthew M. Peet
Computational stability analysis of PDEs with integral terms using the PIE framework. CoRR (2022)
Morgan Jones, Matthew M. Peet
A generalization of Bellman's equation with application to path planning, obstacle avoidance and invariant set estimation. Autom. 127 (2021)
Matthew M. Peet
A Partial Integral Equation (PIE) representation of coupled linear PDEs and scalable stability analysis using LMIs. Autom. 125 (2021)
Matthew M. Peet
Minimal Differential Difference Realizations of Delay Differential, Differential Difference, and Neutral Delay Systems. IEEE Control. Syst. Lett. 5 (4) (2021)
Matthew M. Peet
Representation of networks and systems with delay: DDEs, DDFs, ODE-PDEs and PIEs. Autom. 127 (2021)
Matthew M. Peet
Minimal Differential Difference Realizations of Delay Differential, Differential Difference, and Neutral Delay Systems. ACC (2021)
Morgan Jones, Matthew M. Peet
Extensions of the Dynamic Programming Framework: Battery Scheduling, Demand Charges, and Renewable Integration. IEEE Trans. Autom. Control. 66 (4) (2021)
Morgan Jones, Matthew M. Peet
Converse Lyapunov Functions and Converging Inner Approximations to Maximal Regions of Attraction of Nonlinear Systems. CDC (2021)
Amir Salimi Lafmejani, Azadeh Doroudchi, Hamed Farivarnejad, Ximin He, Daniel Aukes, Matthew M. Peet, Hamidreza Marvi, Rebecca E. Fisher, Spring Berman
Kinematic Modeling and Trajectory Tracking Control of an Octopus-Inspired Hyper-Redundant Robot. IEEE Robotics Autom. Lett. 5 (2) (2020)
Brendon K. Colbert, Luis G. Crespo, Matthew M. Peet
A Convex Optimization Approach to Improving Suboptimal Hyperparameters of Sliced Normal Distributions. ACC (2020)
Yulia T. Peet, Matthew M. Peet
A New Treatment of Boundary Conditions in PDE Solutions with Galerkin Methods via Partial Integral Equation Framework. CoRR (2020)
Brendon K. Colbert, Matthew M. Peet
A Convex Parametrization of a New Class of Universal Kernel Functions. J. Mach. Learn. Res. 21 (2020)
Matthew M. Peet
-Optimal Controller Synthesis Problem for Multidelay Systems. SIAM J. Control. Optim. 58 (3) (2020)
Amritam Das, Sachin Shivakumar, Matthew M. Peet, Siep Weiland
Robust Analysis of Uncertain ODE-PDE Systems Using PI Multipliers, PIEs and LPIs. CDC (2020)
Sachin Shivakumar, Amritam Das, Matthew M. Peet
PIETOOLS: A Matlab Toolbox for Manipulation and Optimization of Partial Integral Operators. ACC (2020)
Sachin Shivakumar, Amritam Das, Siep Weiland, Matthew M. Peet
Duality and H∞-Optimal Control Of Coupled ODE-PDE Systems. CDC (2020)
Brendon K. Colbert, Matthew M. Peet
A New Algorithm for Tessellated Kernel Learning. CoRR (2020)
Morgan Jones, Matthew M. Peet
Polynomial Approximation of Value Functions and Nonlinear Controller Design with Performance Bounds. CoRR (2020)
Hosain Bagheri, Anna Hu, Sheldon Cummings, Cayla Roy, Rachel Casleton, Ashley Wan, Nicole Erjavic, Spring Berman, Matthew M. Peet, Daniel M. Aukes, Ximin He, Stephen C. Pratt, Rebecca E. Fisher, Hamid Marvi
New Insights on the Control and Function of Octopus Suckers. Adv. Intell. Syst. 2 (6) (2020)
Amritam Das, Sachin Shivakumar, Siep Weiland, Matthew M. Peet
ℋ∞ Optimal Estimation for Linear Coupled PDE Systems. CDC (2019)
Brendon K. Colbert, Luis G. Crespo, Matthew M. Peet
A Sum of Squares Optimization Approach to Uncertainty Quantification. ACC (2019)
Sachin Shivakumar, Matthew M. Peet
Computing Input-Ouput Properties of Coupled Linear PDE systems. ACC (2019)
Sachin Shivakumar, Amritam Das, Siep Weiland, Matthew M. Peet
A Generalized LMI Formulation for Input-Output Analysis of Linear Systems of ODEs Coupled with PDEs. CDC (2019)
Morgan Jones, Matthew M. Peet
Using SOS for Optimal Semialgebraic Representation of Sets: Finding Minimal Representations of Limit Cycles, Chaotic Attractors and Unions. ACC (2019)
Matthew M. Peet, Keqin Gu
SOS for Systems with Multiple Delays: Part 2. H∞-Optimal Estimation. ACC (2019)
Matthew M. Peet
A Dual to Lyapunov's Second Method for Linear Systems With Multiple Delays and Implementation Using SOS. IEEE Trans. Autom. Control. 64 (3) (2019)
Matthew M. Peet, Keqin Gu
SOS for Systems with Multiple Delays: Part 1. H∞-Optimal Control. ACC (2019)
Shuangshuang Wu, Matthew M. Peet, Changchun Hua
Estimator-Based Output-Feedback Stabilization of Linear Multi-Delay Systems using SOS. CDC (2019)
Morgan Jones, Matthew M. Peet
Relaxing The Hamilton Jacobi Bellman Equation To Construct Inner And Outer Bounds On Reachable Sets. CDC (2019)
Brendon K. Colbert, Matthew M. Peet
Using SDP to Parameterize Universal Kernel Functions. CDC (2019)
Matthew M. Peet
A Convex Reformulation of the Controller Synthesis Problem for Infinite-Dimensional Systems using Linear Operator Inequalities (LOIs) with Application to MIMO Multi-Delay Systems. ACC (2018)
Matthew M. Peet
-Optimal Controller Synthesis Problem for Multi-Delay Systems. CoRR (2018)
Azadeh Doroudchi, Sachin Shivakumar, Rebecca E. Fisher, Hamid Marvi, Daniel Aukes, Ximin He, Spring Berman, Matthew M. Peet
Decentralized Control of Distributed Actuation in a Segmented Soft Robot Arm. CDC (2018)
Brendon K. Colbert, Hesameddin Mohammadi, Matthew M. Peet
Combining SOS with Branch and Bound to Isolate Global Solutions of Polynomial Optimization Problems. ACC (2018)
Matthew M. Peet
A New State-Space Representation of Lyapunov Stability for Coupled PDEs and Scalable Stability Analysis in the SOS Framework - with Lemma Proofs. CoRR (2018)
Brendon K. Colbert, Matthew M. Peet
Using Trajectory Measurements to Estimate the Region of Attraction of Nonlinear Systems. CDC (2018)
Matthew M. Peet
A New State-Space Representation for Coupled PDEs and Scalable Lyapunov Stability Analysis in the SOS Framework. CDC (2018)
Morgan Jones, Matthew M. Peet
Solving dynamic programming with supremum terms in the objective and application to optimal battery scheduling for electricity consumers subject to demand charges. CDC (2017)
Aditya Gahlawat, Matthew M. Peet
A Convex Sum-of-Squares Approach to Analysis, State Feedback and Output Feedback Control of Parabolic PDEs. IEEE Trans. Autom. Control. 62 (4) (2017)
Brendon K. Colbert, Matthew M. Peet
A Convex Parametrization of a New Class of Universal Kernel Functions for use in Kernel Learning. CoRR (2017)
Morgan Jones, Hesameddin Mohammadi, Matthew M. Peet
Estimating the region of attraction using polynomial optimization: A converse Lyapunov result. CDC (2017)
Matthew M. Peet
A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS. ACC (2017)
Guoying Miao, Matthew M. Peet, Keqin Gu
Inversion of Separable Kernel Operators in Coupled Differential-Functional Equations and Application to Controller Synthesis. CoRR (2017)
Aditya Gahlawat, Matthew M. Peet
Optimal state feedback boundary control of parabolic PDEs using SOS polynomials. ACC (2016)
Evgeny Meyer, Matthew M. Peet
A Convex Approach for Stability Analysis of Coupled PDEs with Spatially Dependent Coefficients. CoRR (2016)
Reza Kamyar, Matthew M. Peet
Multi-objective dynamic programming for constrained optimization of non-separable objective functions with application in energy storage. CDC (2016)
Aditya Gahlawat, Matthew M. Peet
Output Feedback Control of Inhomogeneous Parabolic PDEs with Point Actuation and Point Measurement using SOS and Semi-Separable Kernels. CoRR (2015)
Aditya Gahlawat, Matthew M. Peet
A Convex Approach to Analysis, State and Output Feedback Control Parabolic PDEs Using Sum-of-Squares. CoRR (2015)
Aditya Gahlawat, Matthew M. Peet
Output feedback control of inhomogeneous parabolic PDEs with point actuation and point measurement using SOS and semi-separable kernels. CDC (2015)
Evgeny Meyer, Matthew M. Peet
Stability analysis of parabolic linear PDEs with two spatial dimensions using Lyapunov method and SOS. CDC (2015)
Reza Kamyar, Matthew M. Peet
Optimal thermostat programming and optimal electricity rates for customers with demand charges. ACC (2015)
Reza Kamyar, Chaitanya Murti, Matthew M. Peet
Constructing piecewise-polynomial lyapunov functions for local stability of nonlinear systems using Handelman's theorem. CDC (2014)
Aditya Gahlawat, Matthew M. Peet
A Convex Approach to Output Feedback Control of Parabolic PDEs Using Sum-of-Squares. CoRR (2014)
Matthew M. Peet
LMI parametrization of Lyapunov functions for infinite-dimensional systems: A framework. ACC (2014)
Alexandre Seuret, Matthew M. Peet
Stability Analysis of Sampled-Data Systems Using Sum of Squares. IEEE Trans. Autom. Control. 58 (6) (2013)
Chaitanya Murti, Matthew M. Peet
A sum-of-squares approach to the analysis of Zeno stability in polynomial hybrid systems. ECC (2013)
Matthew M. Peet
Full-State Feedback of Delayed Systems Using SOS: A New Theory of Duality. TDS (2013)
Reza Kamyar, Matthew M. Peet
Decentralized Polya's algorithm for stability analysis of large-scale nonlinear systems. CDC (2013)
Reza Kamyar, Matthew M. Peet, Yulia T. Peet
Solving Large-Scale Robust Stability Problems by Exploiting the Parallel Structure of Polya's Theorem. IEEE Trans. Autom. Control. 58 (8) (2013)
Reza Kamyar, Matthew M. Peet
Decentralized computation for robust stability of large-scale systems with parameters on the hypercube. CDC (2012)
Reza Kamyar, Matthew M. Peet
Decentralized computation for robust stability analysis of large state-space systems using Polya's theorem. ACC (2012)
Matthew M. Peet, Antonis Papachristodoulou
A Converse Sum of Squares Lyapunov Result With a Degree Bound. IEEE Trans. Autom. Control. 57 (9) (2012)
Aditya Gahlawat, Emmanuel Witrant, Matthew M. Peet, Mazen Alamir
Bootstrap current optimization in Tokamaks using sum-of-squares polynomials. CDC (2012)
Matthew M. Peet, Peter S. Kim, Peter P. Lee
Biological circuit models of immune regulatory response: A decentralized control system. CDC/ECC (2011)
Matthew M. Peet, Pierre-Alexandre Bliman
On the conservatism of the sum-of-squares method for analysis of time-delayed systems. Autom. 47 (11) (2011)
Yashun Zhang, Matthew M. Peet, Keqin Gu
Reducing the Complexity of the Sum-of-Squares Test for Stability of Delayed Linear Systems. IEEE Trans. Autom. Control. 56 (1) (2011)
Aditya Gahlawat, Matthew M. Peet
Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control. CDC/ECC (2011)
Yashun Zhang, Matthew M. Peet, Keqin Gu
Reducing the computational cost of the sum-of-squares stability test for time-delayed systems. ACC (2010)
Matthew M. Peet, Yulia V. Peet
A parallel-computing solution for optimization of polynomials. ACC (2010)
Matthew M. Peet, Antonis Papachristodoulou
A converse sum-of-squares Lyapunov result: An existence proof based on the Picard iteration. CDC (2010)
Matthew M. Peet
Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions. IEEE Trans. Autom. Control. 54 (5) (2009)
Antonis Papachristodoulou, Matthew M. Peet, Sanjay Lall
Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. IEEE Trans. Autom. Control. 54 (5) (2009)
Matthew M. Peet
A generalized chain rule and a bound on the continuity of solutions and converse Lyapunov functions. CDC (2009)
Matthew M. Peet, Antonis Papachristodoulou, Sanjay Lall
Positive Forms and Stability of Linear Time-Delay Systems. SIAM J. Control. Optim. 47 (6) (2009)
Matthew M. Peet, Antonis Papachristodoulou
Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions. CDC (2008)
Antonis Papachristodoulou, Matthew M. Peet, Silviu-Iulian Niculescu
Stability analysis of linear systems with time-varying delays: Delay uncertainty and quenching. CDC (2007)
Matthew M. Peet, Antonis Papachristodoulou
Positivity of kernel functions for systems with communication delay. CDC (2007)
Matthew M. Peet, Sanjay Lall
Global Stability Analysis of a Nonlinear Model of Internet Congestion Control With Delay. IEEE Trans. Autom. Control. 52 (3) (2007)
Matthew M. Peet, Antonis Papachristodoulou, Sanjay Lall
Positive Forms and Stability of Linear Time-Delay Systems. CDC (2006)
Antonis Papachristodoulou, Matthew M. Peet, Sanjay Lall
Constructing Lyapunov-Krasovskii functionals for linear time delay systems. ACC (2005)
Matthew M. Peet, Sanjay Lall
On global stability of Internet congestion control. CDC (2004)