This work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels. It is observed that the time-delay in communication channel leads to the mismatch between the plant and the controller. Such a phenomenon can be accounted for by reconstructing switching signal for the overall closed-loop system. Therefore, we derive some sufficient stability conditions by using multiple Lyapunov functions approach and, moreover, present a robust controller design methodology. A numerical example is presented to demonstrate the effectiveness of the proposed method.
"Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays." Abstr. Appl. Anal. 2014 (SI59) 1 - 9, 2014. https://doi.org/10.1155/2014/906917