Stability Analysis of Switched Positive Systems with Delays

Xiu Yong Ding; Lan Shu; Chang Cheng Xiang; Xiu Liu

doi:10.4028/www.scientific.net/AMM.48-49.1093

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 48-49Stability Analysis of Switched Positive Systems...

Stability Analysis of Switched Positive Systems with Delays

Abstract:

This brief investigates the stability problem of discrete-time switched positive systems with delays, and establishes some necessary and sufﬁcient conditions for the existence of a switched copositive Lyapunov function(SCLF) for such systems. It turns out that the size of the delays does not affect the stability of these systems. In other words, system stability is completely determined by the system matrices.

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Periodical:

Applied Mechanics and Materials (Volumes 48-49)

Pages:

1093-1096

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.48-49.1093

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Online since:

February 2011

Authors:

Xiu Yong Ding, Lan Shu, Chang Cheng Xiang, Xiu Liu

Keywords:

Positive Linear System, Switched Copositive Lyapunov Functions, Switched System

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