期刊
NEUROCOMPUTING
卷 175, 期 -, 页码 450-458出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2015.10.081
关键词
Markovian jump systems; Time-varying delay; Stochastic stability; Weighted summation inequalities
资金
- ARC Discovery [DP130101532]
- NAFOSTED of Vietnam [101.01-2014.35]
- Research Fund of Hanoi Pedagogical University [2, C.2015.01]
This paper is concerned with stochastic stability of a class of nonlinear discrete-time Markovian jump systems with interval time-varying delay and partially unknown transition probabilities. A new weighted summation inequality is first derived. We then employ the newly derived inequality to establish delay-dependent conditions which guarantee the stochastic stability of the system. These conditions are derived in terms of tractable matrix inequalities which can be computationally solved by various convex optimized algorithms. Numerical examples are provided to illustrate the effectiveness of the obtained results. (C) 2015 Elsevier B.V. All rights reserved.
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