113 citations · 211 across the 57 of their papers we have counts for
6 papers · 1 filter
Representation of Networks and Systems with Delay: DDEs, DDFs, ODE-PDEs and PIEs
Matthew M. Peet
Delay-Differential Equations (DDEs) are the most common representation for systems with delay. However, the DDE representation is limited. In network models with delay, the delayed…
PIETOOLS: A Matlab Toolbox for Manipulation and Optimization of Partial Integral Operators
Sachin Shivakumar, Amritam Das, Matthew M. Peet
In this paper, we present PIETOOLS, a MATLAB toolbox for the construction and handling of Partial Integral (PI) operators. The toolbox introduces a new class of MATLAB object, opva…
Estimator-Based Output-Feedback Stabilization of Linear Multi-Delay Systems using SOS
Shuangshuang Wu, Matthew M. Peet, Changchun Hua
In this paper, we investigate the estimator-based output feedback control problem of multi-delay systems. This work is an extension of recently developed operator-value LMI framewo…
A Generalized LMI Formulation for Input-Output Analysis of Linear Systems of ODEs Coupled with PDEs
Sachin Shivakumar, Amritam Das, Siep Weiland +1
In this paper, we consider input-output properties of linear systems consisting of PDEs on a finite domain coupled with ODEs through the boundary conditions of the PDE. This framew…
Relaxing The Hamilton Jacobi Bellman Equation To Construct Inner And Outer Bounds On Reachable Sets
Morgan Jones, Matthew M. Peet
We consider the problem of overbounding and underbounding both the backward and forward reachable set for a given polynomial vector field, nonlinear in both state and input, with a…
Using SOS and Sublevel Set Volume Minimization for Estimation of Forward Reachable Sets
Morgan Jones, Matthew M. Peet
In this paper we propose a convex Sum-of-Squares optimization problem for finding outer approximations of forward reachable sets for nonlinear uncertain Ordinary Differential Equat…