奇异摄动区间变时滞不确定非线性系统稳定性分析  

Stability analysis of singularly perturbed interval variable delay uncertain nonlinear system

作　　者：刘书华 张秀华[1] LIU Shu-hua;ZHANG Xiu-hua(College of Sciences,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《白城师范学院学报》2024年第2期17-24,共8页Journal of Baicheng Normal University

摘　　要：奇异摄动系统是实际问题中普遍存在的一类系统,为了使此类系统在应用上达到一定的稳定,利用矩阵分块方法对含有不确定结构的奇异摄动区间变时滞非线性系统稳定性进行分析,通过构造新的Lyapunov函数,基于Lyapunov稳定性理论,结合舒尔补引理、积分不等式和线性矩阵不等式等方法推出奇异摄动系统在摄动参数界内时滞相关的稳定性判据.Singular perturbed systems are a common type of system in practical problems,in order to achieve certain stability in applications,the stability of singular perturbation interval variable delay nonlinear systems with uncertain structures is analyzed by using matrix partitioning method.Constructing a new Lyapu-nov function,based on Lyapunov stability theory and Schur’s complement lemma,integral inequality,linear matrix inequality and other methods,the stability criterion of time-delay dependent system in the perturbation parameter is derived.

关 键 词：奇异摄动系统 区间变时滞 时滞相关 非线性 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]