摘要
利用交叉项界定法对含不确定结构的时变时滞奇异摄动系统稳定性进行分析,选取新的Lyapunov-Krasovskii泛函,同时结合引理、插项法、改进的积分不等式等交叉项界定方法推出时滞依赖和时滞独立两种情形下的稳定性判据.所有结果均以矩阵不等式的形式给出,得到了保守性较小的稳定性条件.通过数值算例证明了所用方法的有效性和可行性.
Singularly perturbed stability analysis with time-delay are investigated by using cross-term defined method,the problem of stability analysis is studied for time-varying singularly perturbed systems with time delay,first introducing a new Lyapunov-Krasovskii functional,then combination with insert terms method and improved integral inequality method to get delay-dependent and delay-independent stability criteria.All results are strictly derived in the form of linear matrix inequality,to get less conservative stability criterion.The validity and feasibility of the used method are proved by the numerical example.
作者
孙凤琪
刘旭遥
SUN Feng-qi;LIU Xu-yao(Mathematical Department,Jilin Normal University,Siping 136000,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2019年第4期42-48,共7页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目（61741318)
