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Mathematical Problems in Engineering
Volume 2014, Article ID 184292, 15 pages
http://dx.doi.org/10.1155/2014/184292
Research Article

Stability Analysis and Output Tracking Control for Linear Systems with Time-Varying Delays

1School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea
2Department of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea

Received 16 April 2014; Revised 28 May 2014; Accepted 30 May 2014; Published 29 June 2014

Academic Editor: Yuxin Zhao

Copyright © 2014 K. H. Kim et al. 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

The problem of stability analysis and output tracking control for linear systems with time-varying delays is studied. First, by construction of a newly augmented Lyapunov-Krasovskii functional, a delay-dependent stability criterion for nominal systems with time-varying delays is established in terms of linear matrix inequalities (LMIs). Second, based on the sense, the proposed method is extended to solve the problem of designing an output tracking controller to track the output of a given reference model. Finally, three examples are included to show the validity and effectiveness of the presented delay-dependent stability and the output tracking controller design.