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2013 Switched Convergence of Second-Order Switched Homogeneous Systems
Carmen Pérez, Francisco Benítez
Abstr. Appl. Anal. 2013(SI56): 1-8 (2013). DOI: 10.1155/2013/472430

Abstract

This paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial condition, our method determines if there exists a switching law under which the solution converges to the origin and, if there exists this switching law, how it is constructed. Finally, two numerical examples are presented in order to illustrate the results.

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Carmen Pérez. Francisco Benítez. "Switched Convergence of Second-Order Switched Homogeneous Systems." Abstr. Appl. Anal. 2013 (SI56) 1 - 8, 2013. https://doi.org/10.1155/2013/472430

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1296.34056
MathSciNet: MR3108613
Digital Object Identifier: 10.1155/2013/472430

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI56 • 2013
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