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 language | English |
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Pages (from-to) | 191-205 |
Number of pages | 15 |
Journal | Applied Mathematics and Computation |
Volume | 342 |
DOIs | |
Publication status | Published - 2019 Feb 1 |
Keywords
- Reciprocally convex inequality
- Semi-Markovian jump system
- Stochastic stability
- Time-varying delay
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics