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A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay
- Authors
- Zhang, Dian; Cheng, Jun; Ahn, Choon Ki; Ni, Hongjie
- Issue Date
- 1-Feb-2019
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Semi-Markovian jump system; Stochastic stability; Time-varying delay; Reciprocally convex inequality
- Citation
- APPLIED MATHEMATICS AND COMPUTATION, v.342, pp.191 - 205
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS AND COMPUTATION
- Volume
- 342
- Start Page
- 191
- End Page
- 205
- ISSN
- 0096-3003
- 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 tau(t) is assumed to satisfy tau 1 <= tau(t) <= tau(2). Based on the flexible terminal approach, the timevarying delay t(t) is first transformed such that tau(1)(t) <= tau(t) <= tau 2 (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. (c) 2018 Elsevier Inc. All rights reserved.
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Related Researcher
- Ahn, Choon ki
- College of Engineering (School of Electrical Engineering)