Stability of switched positive linear delay systems with mixed impulses

Shanshan Hong and Yu Zhang

International Journal of Systems Science, 2019, vol. 50, issue 16, 3022-3037

Abstract: This paper investigates the global exponential stability of both continuous-time and discrete-time switched positive linear delay systems with the coexistence of destabilising and stabilising impulses. Based on the comparison principle, with the help of discretised multiple linear copositive Lyapunov functions, some delay-independent stability results are obtained. It should be noted that it is the first time that discrete-time switched delay systems with asynchronous switching and impulses are considered, and the switching effect can be stabilising in the obtained results of this paper. Some numerical examples are provided to demonstrate the effectiveness and superiority of the derived results.

Date: 2019
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DOI: 10.1080/00207721.2019.1692096

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