3 citations · 3 across the 6 of their papers we have counts for
6 papers
Integral Quadratic Constraints with Infinite-Dimensional Channels
Aleksandr Talitckii, Peter Seiler, Matthew M. Peet
Modern control theory provides us with a spectrum of methods for studying the interconnection of dynamic systems using input-output properties of the interconnected subsystems. Per…
Optimal Thermostat Programming and Optimal Electricity Rates for Customers with Demand Charges
Reza Kamyar, Matthew M. Peet
We consider the coupled problems of optimal thermostat programming and optimal pricing of electricity. Our framework consists of a single user and a single provider (a regulated ut…
Using SOS for Analysis of Zeno Stability in Hybrid systems with Nonlinearity and Uncertainy
Chaitanya Murti, Matthew Peet
Hybrid systems exhibit phenomena which do not occur in systems with continuous vector fields. One such phenomenon - Zeno executions - is characterized by an infinite number of disc…
Global Stability Analysis of Nonlinear Sampled-Data Systems using Convex Methods
Matthew M. Peet, Alexandre Seuret
We consider the problem of global stability of nonlinear sampled-data systems. Sampled-data systems are a form of hybrid model which arises when discrete measurements and updates a…
Constructing Piecewise Polynomial Lyapunov Functions for Local Stability of Nonlinear Systems Using Handelman's Theorem
Reza Kamyar, Chaitanya Murti, Matthew Peet
In this paper, we propose a new convex approach to stability analysis of nonlinear systems with polynomial vector fields. First, we consider an arbitrary convex polytope that conta…
Polynomial Optimization with Applications to Stability Analysis and Control - Alternatives to Sum of Squares
Reza Kamyar, Matthew Peet
In this paper, we explore the merits of various algorithms for polynomial optimization problems, focusing on alternatives to sum of squares programming. While we refer to advantage…