摘要
研究了一类中立型Markov跳变随机系统鲁槔指数稳定性,借助于Lyapunov-Krasovskii泛函方法和随机稳定性理论,给出并证明了使中立型Markov跳变时滞随机系统指数稳定的充分条件,所有结果以线性矩阵不等式形式给出,算例表明了所给出的稳定性判据的有效性.
The robust exponentiM stability problem for a class of uncertain neutral stochastic system with Markovian jump and time-varying delays is investigated. By using the Lyapunov-Krasovskii method and stochastic stability theory, the sufficient condition making the system robust exponentiM stable is proposed and derived. All results are given in terms of linear matrix inequalities （LMIs） and numerical example is given to illustrate the effectiveness of the developed stability criteria.
出处
《系统科学与数学》
CSCD
北大核心
2012年第7期821-830,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(60874114)资助课题
关键词
鲁棒指数稳定性
中立系统
MARKOV跳变
随机系统
线性矩阵不等式
Robust exponential stability, neutral system, Markovian jump, stochastic system, linear mutrix inequalities （LMIs）.
