Stability analysis of switched positive linear systems with stable and unstable subsystems

Ji-Shi Zhang, Yan-Wu Wang, Jiang-Wen Xiao and Yan-Jun Shen

International Journal of Systems Science, 2014, vol. 45, issue 12, 2458-2465

Abstract: This paper addresses the stability problem of switched positive linear systems with stable and unstable subsystems. Based on a multiple linear copositive Lyapunov function, and by using the average dwell time approach, some sufficient stability criteria of global uniform exponential stability are established in both the continuous-time and the discrete-time cases, respectively. Finally, some numerical examples are given to show the effectiveness of the proposed results.

Date: 2014
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DOI: 10.1080/00207721.2013.770938

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