Novel LMI-based stability and stabilization analysis on impulsive switched system with time delays

This paper is concerned with the problems of stability and stabilization of impulsive switched system with time delays. First, a novel Razumikhin function is constructed; then based on LMI approach and optimization techniques, we derive our theoretical result with good properties; subsequently, we extend our results to the case with perturbations. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed techniques.