Stability and stabilization for positive systems with semi-Markov switching

Huajian Wang, Wenhai Qi, Lihua Zhang, Jun Cheng and Yonggui Kao

Applied Mathematics and Computation, 2020, vol. 379, issue C

Abstract: In this article, the problems of mean stability analysis and control synthesis are studied for stochastic switching systems subject to positive constraint. Such a switching is governed by a semi-Markov process subject to a special non-exponential distribution. Considering a linear Lyapunov-Krasovskii function (LKF), necessary and sufficient conditions are proposed to realize mean stability for the open-loop system. Based on this, the solvability conditions for the desired stabilizing controller can be determined under a linear programming (LP) framework. Finally, the theoretical findings are illustrated by the virus mutation treatment model.

Keywords: mean stability; stochastic switching systems; Lyapunov-Krasovskii function; linear programming (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320302216

DOI: 10.1016/j.amc.2020.125252

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