Matthew M. Peet

Orcid: 0000-0001-9360-6738

According to our database1, Matthew M. Peet authored at least 96 papers between 2004 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
A new treatment of boundary conditions in PDE solution with Galerkin methods via Partial Integral Equation framework.
J. Comput. Appl. Math., May, 2024

Employing Feature Selection Algorithms to Determine the Immune State of a Mouse Model of Rheumatoid Arthritis.
IEEE J. Biomed. Health Informatics, April, 2024

H<sub>∞</sub>-Optimal Estimator Synthesis for Coupled Linear 2D PDEs using Convex Optimization.
CoRR, 2024

2023
Representation of PDE Systems With Delay and Stability Analysis Using Convex Optimization.
IEEE Control. Syst. Lett., 2023

Combining Trajectory Data With Analytical Lyapunov Functions for Improved Region of Attraction Estimation.
IEEE Control. Syst. Lett., 2023

Constructive Representation of Functions in N-Dimensional Sobolev Space.
CoRR, 2023

Efficient Convex Algorithms for Universal Kernel Learning.
CoRR, 2023

A PIE Representation of Scalar Quadratic PDEs and Global Stability Analysis Using SDP.
Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

Integral Quadratic Constraints with Infinite-Dimensional Channels.
Proceedings of the American Control Conference, 2023

Representation of linear PDEs with spatial integral terms as Partial Integral Equations.
Proceedings of the American Control Conference, 2023

Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems.
Proceedings of the American Control Conference, 2023

2022
Efficient Data Structures for Representation of Polynomial Optimization Problems: Implementation in SOSTOOLS.
IEEE Control. Syst. Lett., 2022

Employing Feature Selection Algorithms to Determine the Immune State of Mice with Rheumatoid Arthritis.
CoRR, 2022

Computational stability analysis of PDEs with integral terms using the PIE framework.
CoRR, 2022

L<sub>2</sub>-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities.
CoRR, 2022

Efficient Data Structures for Exploiting Sparsity and Structure in Representation of Polynomial Optimization Problems: Implementation in SOSTOOLS.
CoRR, 2022

L2-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

A PIE Representation of Coupled Linear 2D PDEs and Stability Analysis using LPIs.
Proceedings of the American Control Conference, 2022

2021
Extensions of the Dynamic Programming Framework: Battery Scheduling, Demand Charges, and Renewable Integration.
IEEE Trans. Autom. Control., 2021

Minimal Differential Difference Realizations of Delay Differential, Differential Difference, and Neutral Delay Systems.
IEEE Control. Syst. Lett., 2021

Representation of networks and systems with delay: DDEs, DDFs, ODE-PDEs and PIEs.
Autom., 2021

A Partial Integral Equation (PIE) representation of coupled linear PDEs and scalable stability analysis using LMIs.
Autom., 2021

A generalization of Bellman's equation with application to path planning, obstacle avoidance and invariant set estimation.
Autom., 2021

Converse Lyapunov Functions and Converging Inner Approximations to Maximal Regions of Attraction of Nonlinear Systems.
Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

2020
A Convex Solution of the H<sub>∞</sub>-Optimal Controller Synthesis Problem for Multidelay Systems.
SIAM J. Control. Optim., 2020

Kinematic Modeling and Trajectory Tracking Control of an Octopus-Inspired Hyper-Redundant Robot.
IEEE Robotics Autom. Lett., 2020

A Convex Parametrization of a New Class of Universal Kernel Functions.
J. Mach. Learn. Res., 2020

A New Treatment of Boundary Conditions in PDE Solutions with Galerkin Methods via Partial Integral Equation Framework.
CoRR, 2020

Polynomial Approximation of Value Functions and Nonlinear Controller Design with Performance Bounds.
CoRR, 2020

A New Algorithm for Tessellated Kernel Learning.
CoRR, 2020

New Insights on the Control and Function of Octopus Suckers.
Adv. Intell. Syst., 2020

Duality and H∞-Optimal Control Of Coupled ODE-PDE Systems.
Proceedings of the 59th IEEE Conference on Decision and Control, 2020

Robust Analysis of Uncertain ODE-PDE Systems Using PI Multipliers, PIEs and LPIs.
Proceedings of the 59th IEEE Conference on Decision and Control, 2020

PIETOOLS: A Matlab Toolbox for Manipulation and Optimization of Partial Integral Operators.
Proceedings of the 2020 American Control Conference, 2020

A Convex Optimization Approach to Improving Suboptimal Hyperparameters of Sliced Normal Distributions.
Proceedings of the 2020 American Control Conference, 2020

2019
A Dual to Lyapunov's Second Method for Linear Systems With Multiple Delays and Implementation Using SOS.
IEEE Trans. Autom. Control., 2019

Estimator-Based Output-Feedback Stabilization of Linear Multi-Delay Systems using SOS.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

A Generalized LMI Formulation for Input-Output Analysis of Linear Systems of ODEs Coupled with PDEs.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Relaxing The Hamilton Jacobi Bellman Equation To Construct Inner And Outer Bounds On Reachable Sets.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

ℋ∞ Optimal Estimation for Linear Coupled PDE Systems.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Using SDP to Parameterize Universal Kernel Functions.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Computing Input-Ouput Properties of Coupled Linear PDE systems.
Proceedings of the 2019 American Control Conference, 2019

SOS for Systems with Multiple Delays: Part 2. H∞-Optimal Estimation.
Proceedings of the 2019 American Control Conference, 2019

SOS for Systems with Multiple Delays: Part 1. H∞-Optimal Control.
Proceedings of the 2019 American Control Conference, 2019

Using SOS for Optimal Semialgebraic Representation of Sets: Finding Minimal Representations of Limit Cycles, Chaotic Attractors and Unions.
Proceedings of the 2019 American Control Conference, 2019

A Sum of Squares Optimization Approach to Uncertainty Quantification.
Proceedings of the 2019 American Control Conference, 2019

2018
A Convex Formulation of the H<sub>∞</sub>-Optimal Controller Synthesis Problem for Multi-Delay Systems.
CoRR, 2018

A New State-Space Representation of Lyapunov Stability for Coupled PDEs and Scalable Stability Analysis in the SOS Framework - with Lemma Proofs.
CoRR, 2018

A New State-Space Representation for Coupled PDEs and Scalable Lyapunov Stability Analysis in the SOS Framework.
Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Decentralized Control of Distributed Actuation in a Segmented Soft Robot Arm.
Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Using Trajectory Measurements to Estimate the Region of Attraction of Nonlinear Systems.
Proceedings of the 57th IEEE Conference on Decision and Control, 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.
Proceedings of the 2018 Annual American Control Conference, 2018

Combining SOS with Branch and Bound to Isolate Global Solutions of Polynomial Optimization Problems.
Proceedings of the 2018 Annual American Control Conference, 2018

2017
A Convex Sum-of-Squares Approach to Analysis, State Feedback and Output Feedback Control of Parabolic PDEs.
IEEE Trans. Autom. Control., 2017

A Convex Parametrization of a New Class of Universal Kernel Functions for use in Kernel Learning.
CoRR, 2017

Inversion of Separable Kernel Operators in Coupled Differential-Functional Equations and Application to Controller Synthesis.
CoRR, 2017

Solving dynamic programming with supremum terms in the objective and application to optimal battery scheduling for electricity consumers subject to demand charges.
Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

Estimating the region of attraction using polynomial optimization: A converse Lyapunov result.
Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS.
Proceedings of the 2017 American Control Conference, 2017

2016
A Convex Approach for Stability Analysis of Coupled PDEs with Spatially Dependent Coefficients.
CoRR, 2016

Multi-objective dynamic programming for constrained optimization of non-separable objective functions with application in energy storage.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

Optimal state feedback boundary control of parabolic PDEs using SOS polynomials.
Proceedings of the 2016 American Control Conference, 2016

2015
A Convex Approach to Analysis, State and Output Feedback Control Parabolic PDEs Using Sum-of-Squares.
CoRR, 2015

Stability analysis of parabolic linear PDEs with two spatial dimensions using Lyapunov method and SOS.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Output feedback control of inhomogeneous parabolic PDEs with point actuation and point measurement using SOS and semi-separable kernels.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

Optimal thermostat programming and optimal electricity rates for customers with demand charges.
Proceedings of the American Control Conference, 2015

2014
A Convex Approach to Output Feedback Control of Parabolic PDEs Using Sum-of-Squares.
CoRR, 2014

Constructing piecewise-polynomial lyapunov functions for local stability of nonlinear systems using Handelman's theorem.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

LMI parametrization of Lyapunov functions for infinite-dimensional systems: A framework.
Proceedings of the American Control Conference, 2014

2013
Stability Analysis of Sampled-Data Systems Using Sum of Squares.
IEEE Trans. Autom. Control., 2013

Solving Large-Scale Robust Stability Problems by Exploiting the Parallel Structure of Polya's Theorem.
IEEE Trans. Autom. Control., 2013

Full-State Feedback of Delayed Systems Using SOS: A New Theory of Duality.
Proceedings of the 11th Workshop on Time-Delay Systems, 2013

A sum-of-squares approach to the analysis of Zeno stability in polynomial hybrid systems.
Proceedings of the 12th European Control Conference, 2013

Decentralized Polya's algorithm for stability analysis of large-scale nonlinear systems.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
A Converse Sum of Squares Lyapunov Result With a Degree Bound.
IEEE Trans. Autom. Control., 2012

Decentralized computation for robust stability of large-scale systems with parameters on the hypercube.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Bootstrap current optimization in Tokamaks using sum-of-squares polynomials.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Decentralized computation for robust stability analysis of large state-space systems using Polya's theorem.
Proceedings of the American Control Conference, 2012

2011
Reducing the Complexity of the Sum-of-Squares Test for Stability of Delayed Linear Systems.
IEEE Trans. Autom. Control., 2011

On the conservatism of the sum-of-squares method for analysis of time-delayed systems.
Autom., 2011

Biological circuit models of immune regulatory response: A decentralized control system.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010
A converse sum-of-squares Lyapunov result: An existence proof based on the Picard iteration.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Reducing the computational cost of the sum-of-squares stability test for time-delayed systems.
Proceedings of the American Control Conference, 2010

A parallel-computing solution for optimization of polynomials.
Proceedings of the American Control Conference, 2010

2009
Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions.
IEEE Trans. Autom. Control., 2009

Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition.
IEEE Trans. Autom. Control., 2009

Positive Forms and Stability of Linear Time-Delay Systems.
SIAM J. Control. Optim., 2009

A generalized chain rule and a bound on the continuity of solutions and converse Lyapunov functions.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2008
Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007
Global Stability Analysis of a Nonlinear Model of Internet Congestion Control With Delay.
IEEE Trans. Autom. Control., 2007

Positivity of kernel functions for systems with communication delay.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Stability analysis of linear systems with time-varying delays: Delay uncertainty and quenching.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006
On the Analysis of Systems Described by Classes of Partial Differential Equations.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005
Constructing Lyapunov-Krasovskii functionals for linear time delay systems.
Proceedings of the American Control Conference, 2005

2004
On global stability of Internet congestion control.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004


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