A Generalized System Approach to Intermittent Nonfragile Control of Stochastic Neutral Time-Varying Delay Systems
Kui Ding, Quanxin Zhu, Haidan Li
Abstract
This article focuses on the intermittent nonfragile control problem for a class of stochastic neutral-type time-varying delay systems with randomly occurring uncertainties. First, the problem is transformed into the intermittent stabilization problem of generalized systems by variable substitution. Second, based on the dynamic characteristics of the intermittent controlled generalized systems, the time-dependent switching Lyapunov functional is introduced, and the convex combination technique is applied to provide sufficient conditions for the stability of the systems. Then, it is proved that the conditions can be transformed into a feasible solution of a group of linear matrix inequalities. Finally, several numerical examples are provided to verify the effectiveness and advantages of the proposed method.