Stochastic finite-time stability and stabilisation of semi-Markovian jump linear systems with generally uncertain transition rates

Guifang Cheng, Yuanyuan Ju and Xiaowu Mu

International Journal of Systems Science, 2021, vol. 52, issue 1, 185-195

Abstract: This paper investigates the stochastic finite-time stability and the state feedback controller design for the linear semi-Markovian jump systems with generally uncertain transition rates. Firstly, sufficient condition is established by using a stochastic Lyapunov functional. Secondly, based on the linear matrix inequality condition, the state feedback controller is obtained to guarantee the finite-time stabilisation. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method.

Date: 2021
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DOI: 10.1080/00207721.2020.1823518

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