摘要
本文讨论了更为广泛的具有分布型时滞,双线性马尔可夫过程跳变参数的不确定性系统。分析了该系统的鲁棒均方指数稳定性。设计了鲁棒反馈镇定控制器。基于LMI方法,得到了系统均方指数稳定的充分条件。在一定程度上推广了离散时滞下的相应系统的结果。
In this paper, a class of more generalized bilinear distributed delay systems with Markovian jumping parameters and uncertainties are discussed. The robust exponential stability in mean square of the system is analyzed. The robust state feedback controller is designed. Some sufficient conditions are shown by basing on the LMI's approach. Some sufficient conditions of robust exponential stability in mean square are given. The results extend to some extent corresponding researches about systems with discrete time-delay.
出处
《工程数学学报》
CSCD
北大核心
2005年第3期499-506,共8页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(69874015
69334030)内蒙古自然科学基金(200308020101).
关键词
马尔可夫跳变参数
分布型时滞
LMI方法
均方指数稳定
Markov jump parameters
distributed delay
LMFs approach
exponentially stable in mean square
