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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 906917, 9 pages
http://dx.doi.org/10.1155/2014/906917
Research Article

Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays

1Yunnan University Dianchi College, Kunming 650228, China
2School of Mechanical & Electrical Engineering, Heilongjiang University, Harbin 150080, China

Received 21 June 2014; Accepted 3 July 2014; Published 14 August 2014

Academic Editor: Zheng-Guang Wu

Copyright © 2014 Lili Jia and Zunbing Sheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.