Article ID Journal Published Year Pages File Type
723633 IFAC Proceedings Volumes 2007 6 Pages PDF
Abstract

We consider discrete-time homogeneous systems under arbitrary switching and study their growth rate, the analogue of joint spectral radius for switched linear systems. We show that a system is asymptotically stable if and only if its growth rate is less than unity. We also provide an approximation algorithm to compute growth rate to an arbitrary accuracy.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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