This paper investigates the stabilization problem for impulsive switched systems with time delays. First, exponential stability criteria of the delayed impulsive switched systems are established by use of the Lyapunov-Krasovskii functional method. Based on these results, sufficient conditions for the existence of a guaranteed cost control are also given. Subject to these sufficient conditions, the closed-loop impulsive switched system under the guaranteed cost control law will be exponentially stable with a guaranteed cost value.
Xiang Xie. Honglei Xu. Rong Zhang. "Exponential Stabilization of Impulsive Switched Systems with Time Delays Using Guaranteed Cost Control." Abstr. Appl. Anal. 2014 (SI13) 1 - 8, 2014. https://doi.org/10.1155/2014/126836