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Discrete Dynamics in Nature and Society
Volume 2012, Article ID 192546, 16 pages
Research Article

Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model

1Key Laboratory of Optoelectronic Technology and Systems of Education Ministry of China, Chongqing University, Chongqing 400030, China
2School of Mathematic and Computer, Qinzhou University, Qinzhou, Guangxi 535000, China
3School of Software Engineering, Chongqing University, Chongqing 400030, China
4School of Mathematics & Statistics, Chongqing University, Chongqing 400030, China

Received 4 July 2011; Revised 14 November 2011; Accepted 16 November 2011

Academic Editor: Recai Kilic

Copyright © 2012 Yuangan Wang 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.


This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential stability are established, and a simple design algorithm is provided with stability of nonlinear time-invariant systems. Finally, the numerical simulation for the predator-prey system with functional response and impulsive effects verify the effectiveness of the proposed methods.