Decay-rate-dependent conditions for exponential stability of stochastic neutral systems with Markovian jumping parameters
Decay-rate-dependent conditions for exponential stability of stochastic neutral systems with Markovian jumping parameters
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DOI：
10.1016/j.amc.2017.10.034
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发表时间：
2018-03
期刊：
影响因子：
--
通讯作者：
Weimin Chen;Baoyong Zhang;Qian Ma
中科院分区：
文献类型：
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作者：
Weimin Chen;Baoyong Zhang;Qian Ma
研究了具有马尔可夫跳变参数的中立型随机时滞系统的衰减率相关指数稳定性问题。首先，通过引入算子D （x t, i）和新的Lyapunov-Krasovskii泛函，得到了具有衰减率的系统指数稳定的充分条件。其次，将结果推广到具有马尔可夫跳变参数的不确定中立型随机时滞系统的鲁棒指数估计。最后，通过数值算例验证了所提结果的有效性。
This note studies the problem of decay-rate-dependent exponential stability for neutral stochastic delay systems with Markovian jumping parameters. First, by introducing an operator D (x t, i) as well as a novel Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of system with a decay rate are obtained. Second, the results are extended to the robust exponential estimates for uncertain neutral stochastic delay systems with Markovian jumping parameters. Finally, numerical examples are provided to show the effectiveness of the proposed results.