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

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)191-205
Number of pages15
JournalApplied Mathematics and Computation
Volume342
DOIs
Publication statusPublished - 2019 Feb 1

Keywords

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

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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