Almost sure stability of discrete‐time Markov jump linear systems | Zendy

Song Yang | Zendy; Dong Hao | Zendy; Yang Taicheng | Zendy; Fei Minrui | Zendy

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Almost sure stability of discrete‐time Markov jump linear systems

Author(s) -

Song Yang,

Dong Hao,

Yang Taicheng,

Fei Minrui

Publication year - 2014

Publication title -

iet control theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.059

H-Index - 108

eISSN - 1751-8652

pISSN - 1751-8644

DOI - 10.1049/iet-cta.2013.0550

Subject(s) - control theory (sociology) , discrete time and continuous time , stability (learning theory) , jump , markov chain , linear system , mathematics , computer science , markov process , statistics , artificial intelligence , control (management) , physics , mathematical analysis , quantum mechanics , machine learning

This study deals with a transient analysis and almost sure stability for the discrete‐time Markov jump linear systems (MJLS). The expectation of the sojourn time and the activation number of any mode and the switching number between any two modes of the discrete‐time MJLS are presented firstly. Then, an analysis of the transient behaviour is given. Finally, a new deterministically testable condition for the exponentially almost sure stability is proposed.

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