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20132025
most citedA Sum-of-Squares Approach to the Analysis of Zeno Stability in Polynomial Hybrid Systems

3 citations · 3 across the 5 of their papers we have counts for

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Showing 2014Show all

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math.OC2014

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…

math.OC2014

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…