摘要
现有的一类具有凸多面体不确定随机时滞系统鲁棒镇定条件存在较大保守性,为此,研究了一类具有凸多面体不确定性随机时滞系统参数依赖鲁棒镇定问题。利用Lyapunov随机稳定理论和构造参数依赖的Lya-punov函数,以线性矩阵不等式(LMIs:Linear Matrix Inequalities)的形式给出一类具有凸多面体不确定性随机时滞系统参数依赖鲁棒镇定的充分条件。并通过数值例子说明了该方法计算过程简单,结论精确,适用于工程中结果的有效性。
The problem of parameter-dependent robust stabization for stochastic time-delay systems with polytopic uncertainties is investigated due to the much more conservatism of the existing results. By using Lyapunov sto- chastic stability and constructing parameter-dependent Lyapunov functions, parameter-dependent robust stability sufficient condition is obtained in terms of LMIs （ Linear Matrix Inequalities）. The proposed method is suitable to engineering due to its simple calculation and accurate result. An example is given to illustrate the effectiveness of results.
出处
《吉林大学学报（信息科学版）》
CAS
2011年第2期147-151,共5页
Journal of Jilin University（Information Science Edition）
基金
国家自然科学基金资助项目(60974071)
关键词
随机系统
鲁棒随机稳定
线性矩阵不等式
stochastic systems
robust stochastic stability
linear matrix inequalities （LMIs）
