Asymptotic stability of switching systems

In this article, we study the uniform asymptotic stability of the switched system $u'=f_{ u(t)}(u)$, $uin mathbb{R}^n$, where $ u:mathbb{R}_{+}o {1,2,dots,m}$ is an arbitrary piecewise constant function. We find criteria for the asymptotic stability of nonlinear systems. In particular, fo...

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Bibliographic Details
Main Authors: Driss Boularas, David Cheban
Format: Article
Language:English
Published: Texas State University 2010-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/21/abstr.html