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

Dinh Cong Huong and Nguyen Huu Sau

International Journal of Systems Science, 2019, vol. 50, issue 15, 2824-2837

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.

Date: 2019
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DOI: 10.1080/00207721.2019.1690717

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