Stabilization of Switched Linear Systems with Time-Varying Delay in Switching Occurrence Detection

In this paper, we study stabilization of switched linear systems with time-varying delay in switching occurrence detection. The stabilization is realized through online and offline feedback mechanisms, respectively, and a state feedback controller design approach is proposed for each mechanism. To develop the main results, a more precise calculation method is proposed to estimate overshoots of transition matrices, which can be viewed as a refinement of existing results.