On linear co-positive lyapunov functions for a special of switched linear positive systems

Authors:
Xiuyong Ding;Lan Shu;Changcheng Xiang
Affiliations:
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China;Computer Science Department, Aba Teachers College, Aba, P.R. China
Venue:
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing
Year:
2011

Citing 2
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Brief paper: On linear co-positive Lyapunov functions for sets of linear positive systems

Automatica (Journal of IFAC)
On stability for switched linear positive systems

Mathematical and Computer Modelling: An International Journal

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Abstract

This 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.