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Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay

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  • Dinh Cong Huong
  • Nguyen Huu Sau

Abstract

In this paper, the problem of finite-time stability and stabilisation for positive singular discrete-time linear systems with time-varying delay is investigated. We first present novel delay-dependent sufficient conditions for positivity and finite-time stability of the unforced systems. We then apply the obtained results to solve finite-time stabilisation problem of the considered systems. The sufficient conditions for the positivity and finite-time stabilisable of such systems are formulated in terms of a standard linear programming (LP) problem. Numerical examples are provided to illustrate the effectiveness and advantages of our results.

Suggested Citation

  • Dinh Cong Huong & Nguyen Huu Sau, 2019. "Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(15), pages 2824-2837, November.
  • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2824-2837
    DOI: 10.1080/00207721.2019.1690717
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