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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…
math.OC2013★ 3 cited
A Sum-of-Squares Approach to the Analysis of Zeno Stability in Polynomial Hybrid Systems
Chaitanya Murti, Matthew Peet
Hybrid dynamical systems can exhibit many unique phenomena, such as Zeno behavior. Zeno behavior is the occurrence of infinite discrete transitions in finite time. Zeno behavior ha…