Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates

Zhiguo Yan, Yunxia Song and Xiaoping Liu

Applied Mathematics and Computation, 2018, vol. 321, issue C, 512-525

Abstract: This paper investigates the problems of finite-time stability and stabilization for stochastic Markovian jump systems with generally uncertain transition rates (SMJSwGUTRs). Firstly, a less conservative stability criterion is presented by a mode-dependent approach. Then, the state feedback controller and observer-based controller are designed by a cone complementary linearization method, and two specific algorithms are presented. Finally, an example is used to illustrate our results.

Keywords: Finite-time stability; Stochastic systems; Markovian jump; Generally uncertain transition rates (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:512-525

DOI: 10.1016/j.amc.2017.10.049

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