Stability Analysis for a Class of Discrete-Time Nonhomogeneous Markov Jump Systems with Multiplicative Noises

Shaowei Zhou, Xiaoping Liu, Bing Chen and Hongxia Liu

Complexity, 2018, vol. 2018, 1-9

Abstract:

This paper is concerned with a class of discrete-time nonhomogeneous Markov jump systems with multiplicative noises and time-varying transition probability matrices which are valued on a convex polytope. The stochastic stability and finite-time stability are considered. Some stability criteria including infinite matrix inequalities are obtained by parameter-dependent Lyapunov function. Furthermore, infinite matrix inequalities are converted into finite linear matrix inequalities (LMIs) via a set of slack matrices. Finally, two numerical examples are given to demonstrate the validity of the proposed theoretical methods.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:1586846

DOI: 10.1155/2018/1586846

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