113 citations · 211 across the 57 of their papers we have counts for
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Combining SOS and Moment Relaxations with Branch and Bound to Extract Solutions to Global Polynomial Optimization Problems
Hesameddin Mohammadi, Matthew M. Peet
In this paper, we present a branch and bound algorithm for extracting approximate solutions to Global Polynomial Optimization (GPO) problems with bounded feasible sets. The algorit…
SOS Methods for Multi-Delay Systems: A Dual Form of Lyapanov-Krasovskii Functional
Matthew M. Peet
We present a dual form of Lyapunov-Krasovskii functional which allows the problem of controller synthesis of multi-delay systems to be formulated and solved in a convex manner. Fir…
A Convex Approach for Stability Analysis of Coupled PDEs with Spatially Dependent Coefficients
Evgeny Meyer, Matthew M. Peet
In this paper, we present a methodology for stability analysis of a general class of systems defined by coupled Partial Differential Equations (PDEs) with spatially dependent coeff…
A Convex Approach for Stability Analysis of Coupled PDEs using Lyapunov Functionals
Evgeny Meyer, Matthew M. Peet
In this paper, we present an algorithm for stability analysis of systems described by coupled linear Partial Differential Equations (PDEs) with constant coefficients and mixed boun…