Stability for discrete-time uncertain systems with infinite Markov jump and time-delay

In this paper, we developed a stability analysis for discrete-time uncertain time-delay systems governed by an infinite-state Markov chain (DUTSs-IMC). Some sufficient conditions for the considered systems to be exponential stability in mean square with conditioning (ESMS-C) are derived via linear m...

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Bibliographic Details
Published in:Science China. Information sciences 2021-05, Vol.64 (5), p.152202, Article 152202
Main Authors: Hou, Ting, Liu, Yueying, Deng, Feiqi
Format: Article
Language:English
Subjects:
Banach spaces
Computer Science
Discrete time systems
Euclidean space
Information Systems and Communication Service
Linear matrix inequalities
Markov analysis
Markov chains
Mathematical analysis
Mean square values
Research Paper
Science
Stability analysis
Time delay systems
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Summary:In this paper, we developed a stability analysis for discrete-time uncertain time-delay systems governed by an infinite-state Markov chain (DUTSs-IMC). Some sufficient conditions for the considered systems to be exponential stability in mean square with conditioning (ESMS-C) are derived via linear matrix inequalities (LMIs), which can be examined conveniently. Under novel sufficient conditions, the equivalence among asymptotical stability in mean square (ASMS), stochastic stability (SS), exponential stability in mean square (ESMS), and ESMS-C has been established. Besides, numerical simulations are employed in result validation.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-019-2897-9