17 citations · 20 across the 5 of their papers we have counts for
5 papers
Parallel Optimization of Polynomials for Large-scale Problems in Stability and Control
Reza Kamyar
In this thesis, we focus on some of the NP-hard problems in control theory. Thanks to the converse Lyapunov theory, these problems can often be modeled as optimization over polynom…
Solving Large-Scale Robust Stability Problems by Exploiting the Parallel Structure of Polya's Theorem
Reza Kamyar, Matthew M. Peet, Yulia Peet
In this paper, we propose a distributed computing approach to solving large-scale robust stability problems on the simplex. Our approach is to formulate the robust stability proble…
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…
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…