Stability Analysis for a Class of Linear Switched Positive Systems

Abstract:

This paper addresses stability properties of linear switched positive systems composed of continuous-time subsystems and discrete-time subsystems. Based on the common linear copositive Lyapunov functions, stability of the positive systems is discussed under arbitrary switching. Moreover, a sufficient condition on the minimum dwell time that guarantees the stability of linear switched positive systems. The dwell time analysis interprets the stability of linear switched positive systems through the distance between the eigenvector sets. Thus, an explicit relation in view of stability is obtained between the family of the involved subsystems and the set of admissible switching signals.

• Periodical: Advanced Materials Research (Volumes 562-564)
• Pages: 2084-2087
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.562-564.2084
• Online since: August 2012
• Authors: Hui Ding, Xu Yang Lou
• Keywords: Common Linear Copositive Lyapunov Function, Dwell Time, Eigenvector Set, Linear Switched Positive System

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