离散时滞不确定奇异摄动系统的稳定性分析

Stability Analysis of Discrete Time-delay Uncertain Singularly Perturbed Systems

针对一类时滞不确定离散奇异摄动系统稳定性的相关问题,运用构造Lyapunov-Krasovskii函数的方法,再结合线性矩阵不等式,对离散奇异摄动系统的稳定性进行研究,得出了使奇异摄动系统稳定的条件,并证明了该方法的可行性.

Aiming at the stability problems of a class of discrete-time singularly perturbated systems with uncertain delays, this paper studies the stability of discrete-time singularly perturbated systems by using the method of constructing Lyapunov-Krasovskii function and combining with linear matrix inequalities.The conditions for the stability of singularly perturbated systems are obtained, and the feasibility of this method is proved.