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On The Topological Entropy of Continuous-Time Polytopic Systems

Authors:
Graziano Chesi

Keywords: continuous-time; uncertain; entropy

Abstract:
This paper investigates the topological entropy of continuous-time polytopic systems. The topological entropy is a measure that quantifies the instability in dynamical linear systems and has important applications in autonomous systems. Polytopic systems are dynamical linear systems whose coefficients are functions of an uncertain vector constrained into a polytope. A novel approach is proposed for establishing upper bounds of the largest topological entropy of continuous-time polytopic systems based on the Routh-Hurwitz stability criterion. The upper bounds are established through Linear Matrix Inequality (LMI) feasibility tests, which amount to solving convex optimization problems. A numerical example illustrates the proposed approach.

Pages: 126 to 127

Copyright: Copyright (c) IARIA, 2015

Publication date: May 24, 2015

Published in: conference

ISSN: 2308-3913

ISBN: 978-1-61208-405-3

Location: Rome, Italy

Dates: from May 24, 2015 to May 29, 2015