A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay

Dian Zhang, Jun Cheng, Choon Ki Ahn, Hongjie Ni

Research output: Contribution to journalArticle

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Abstract

This paper addresses the stochastic stability and stabilization problems for a class of semi-Markovian jump systems (SMJSs) with time-varying delay, where the time-varying delay τ(t) is assumed to satisfy τ1 ≤ τ(t) ≤ τ2. Based on the flexible terminal approach, the time-varying delay τ(t) is first transformed such that τ1(t) ≤ τ(t) ≤ τ2(t). By utilizing a novel semi-Markovian Lyapunov Krasoviskii functional (SMLKF) and an improved reciprocally convex inequality (RCI), sufficient conditions are established to guarantee a feasible solution. Two illustrated examples are shown the effectiveness of the main results.

LanguageEnglish
Pages191-205
Number of pages15
JournalApplied Mathematics and Computation
Volume342
DOIs
Publication statusPublished - 2019 Feb 1

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Markovian Jump Systems
Stochastic Stability
Time-varying Delay
Continuous Time
Stabilization
Lyapunov Functional
Sufficient Conditions

Keywords

  • Reciprocally convex inequality
  • Semi-Markovian jump system
  • Stochastic stability
  • Time-varying delay

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay. / Zhang, Dian; Cheng, Jun; Ahn, Choon Ki; Ni, Hongjie.

In: Applied Mathematics and Computation, Vol. 342, 01.02.2019, p. 191-205.

Research output: Contribution to journalArticle

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