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Abstract and Applied Analysis
Volume 2013, Article ID 524028, 9 pages
Research Article

Passivity Analysis and Passive Control for T-S Fuzzy Systems with Leakage Delay and Mixed Time-Varying Delays

1Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China
2School of Civil Engineering & Architecture, Chongqing Jiaotong University, Chongqing 400074, China
3Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 17 July 2013; Accepted 24 August 2013

Academic Editor: Xinsong Yang

Copyright © 2013 Ting Lei 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.


The passivity and passification for Takagi-Sugeno (T-S) fuzzy systems with leakage delay and both discrete and distributed time-varying delays are investigated. By employing the Lyapunov functional method and using the matrix inequality techniques, several delay-dependent criteria to ensure the passivity and passification of the considered T-S fuzzy systems are established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. The obtained results generalize some previous results. Two examples are given to show the effectiveness of the proposed criteria.