Design of Filter for a Class of Switched Linear Neutral Systems

Design of Filter for a Class of Switched Linear Neutral Systems

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 techniqu...

Full description

Bibliographic Details
Main Authors: Caiyun Wu, Yue-E. Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/537249
id doaj-072b4ba71be84d22bc1b0ba9e94a5a26
record_format Article
spelling doaj-072b4ba71be84d22bc1b0ba9e94a5a262020-11-25T01:43:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/537249537249Design of Filter for a Class of Switched Linear Neutral SystemsCaiyun Wu0Yue-E. Wang1School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159, ChinaCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, ChinaThis 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.http://dx.doi.org/10.1155/2013/537249
collection DOAJ
language English
format Article
sources DOAJ
author Caiyun Wu
Yue-E. Wang
spellingShingle Caiyun Wu
Yue-E. Wang
Design of Filter for a Class of Switched Linear Neutral Systems
Mathematical Problems in Engineering
author_facet Caiyun Wu
Yue-E. Wang
author_sort Caiyun Wu
title Design of Filter for a Class of Switched Linear Neutral Systems
title_short Design of Filter for a Class of Switched Linear Neutral Systems
title_full Design of Filter for a Class of Switched Linear Neutral Systems
title_fullStr Design of Filter for a Class of Switched Linear Neutral Systems
title_full_unstemmed Design of Filter for a Class of Switched Linear Neutral Systems
title_sort design of filter for a class of switched linear neutral systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/537249
work_keys_str_mv AT caiyunwu designoffilterforaclassofswitchedlinearneutralsystems
AT yueewang designoffilterforaclassofswitchedlinearneutralsystems
_version_ 1725031265727414272

Similar Items