On Linear Co-positive Lyapunov Functions for a Special of Switched Linear Positive Systems

Xiuyong Ding,Lan Shu,Changcheng Xiang

doi:10.1007/978-3-642-24728-6_87

On Linear Co-positive Lyapunov Functions for a Special of Switched Linear Positive Systems

Xiuyong Ding, Lan Shu + Show 1 more

https://doi.org/10.1007/978-3-642-24728-6_87

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Publication Date: Jan 1, 2011

Citations: 7

Affiliation: University of Electronic Science and Technology of China, Aba Teachers University

#Common Linear Co-positive Lyapunov Function #Switched Positive Linear Systems + Show 8 more

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Abstract

AbstractThis paper considers a class of special of switched positive linear systems (SPLSs) composed of continuous- and discrete-time positive linear time-invariant(LTI) systems. A necessary and sufficient condition for the existence of a common linear co-positive Lyapunov function(CLCLF) for sets of positive LTI systems will be derived. This condition is characterized by some determinants which are related to system matrices. In particular, a CLCLF can be easily located according to our results.Keywordscommon linear co-positive Lyapunov functionspositive systemsswitched systems

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