Stability of discrete-time Markovian jump delay systems with delayed impulses and partly unknown transition probabilities

被引：41
|
作者：
Zhang, Yu [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 75卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Stability; Impulse; Discrete-time Markovian jump system; Delay; ROBUST EXPONENTIAL STABILITY; LINEAR-SYSTEMS; NEURAL-NETWORKS; PARAMETERS; EQUATIONS;
D O I：
10.1007/s11071-013-1052-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, stochastic stability for a class of discrete-time Markovian jump delay systems with delayed impulses and partly unknown transition probabilities is investigated. Some new results are given based on stochastic Lyapunov functionals. It is shown that an unstable discrete-time Markovian jump delay system can be stochastically stable under certain stabilizing impulses. It is also shown that, when the nearest impulsive time interval is appropriately large, a stable discrete-time Markovian jump delay system can retain its stochastic stability property even with destabilizing impulses. Numerical examples together with their simulations are provided to demonstrate the effectiveness of the derived results.
引用
收藏
页码：101 / 111
页数：11
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