控制理论与应用2011，Vol.28Issue(7)：1015-1020,6.
具概率分布变时滞随机系统鲁棒稳定性
Robust delay-probability-distribution stability of linear stochastic systems with time-varying delay
摘要
Abstract
This paper is concerned with the robust stability of a class of linear uncertain stochastic systems with non- linear time-varying stochastic time-delay which is characterized by a Bernoulli stochastic process with given distribution probability in a given variation range. By constructing a new Lyapunov-Krasovskii functional, we derive for the system the sufficient conditions of mean-square exponential stability in terms of the linear matrix inequalities（LMIs）, which can be checked readily by using MATLAB toolbox. The feature of our results is the conclusion of stability conditions being dependent not only on the probability distribution of the time-delay, but also on the upper bound of the its derivative. Mean- while, we also show that the allowable variation range of the time-varying stochastic time-delay can be greater than that of a deterministic time-delay in ensuring the same stability; this demonstrates the less conservativeness of our requirements than the traditional ones. An example is given to illustrate the effectiveness of the proposed method.关键词
变时滞概率分布/不确定随机系统/自由权矩阵/鲁棒稳定/线性矩阵不等式Key words
varying delay-probability-distribution/uncertain stochastic system/free weight matrix/robust stability/linear matrix inequality（LMI）分类
信息技术与安全科学引用本文复制引用
李亚军,邓飞其,彭云建..具概率分布变时滞随机系统鲁棒稳定性[J].控制理论与应用,2011,28(7):1015-1020,6.基金项目
国家自然科学基金资助项目（60874114）. （）
