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Mathematical Problems in Engineering
Volume 2013, Article ID 537249, 9 pages
Research Article

Design of Filter for a Class of Switched Linear Neutral Systems

1School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159, China
2College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received 15 July 2013; Revised 15 September 2013; Accepted 15 September 2013

Academic Editor: Hossein Jafari

Copyright © 2013 Caiyun Wu and Yue-E. Wang. 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.


This paper is concerned with the filtering problem for a class of switched linear neutral systems with time-varying delays. The time-varying delays appear not only in the state but also in the state derivatives. Based on the average dwell time approach and the piecewise Lyapunov functional technique, sufficient conditions are proposed for the exponential stability of the filtering error dynamic system. Then, the corresponding solvability condition for a desired filter satisfying a weighted performance is established. All the conditions obtained are delay-dependent. Finally, two numerical examples are given to illustrate the effectiveness of the proposed theory.