Improved results for stochastic stabilization of a class of discrete-time singular Markovian jump systems with time-varying delay. (February 2017)

• Record Type: Journal Article
• Authors: Long, Shaohua; Zhong, Shouming
• Is Part Of: Nonlinear analysis. Volume 23(2017)
• Page Start: 11
• Page End: 26
• Publication Date: 2017-02
• Subjects: Singular systems -- Time-varying delay -- Markovian jump -- Stochastic stabilization; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.06.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, the problem of stochastic stabilization for a class of discrete-time singular Markovian jump systems with time-varying delay is investigated. By using the Lyapunov functional method and delay decomposition approach, improved delay-dependent sufficient conditions are presented, which guarantee the considered systems to be regular, causal and stochastically stabilizable. Finally, some numerical examples are provided to illustrate the effectiveness of the obtained methods.