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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 261353, 9 pages
http://dx.doi.org/10.1155/2013/261353
Research Article

LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory

1Institution of Mathematics, Yibin University, Yibin, Sichuan 644007, China
2College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

Received 27 June 2013; Accepted 6 August 2013

Academic Editor: Chuanzhi Bai

Copyright © 2013 Ruofeng Rao and Zhilin Pu. 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.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Ruofeng Rao, Shouming Zhong, and Xiongrui Wang, “Stochastic stability criteria with LMI conditions for Markovian jumping impulsive BAM neural networks with mode-dependent time-varying delays and nonlinear reaction-diffusion,” Communications in Nonlinear Science and Numerical Simulation, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, and Zhilin Pu, “LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory,” Abstract and Applied Analysis, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Xi Chen, Huizhong Mao, and Chen Qiao, “Without Diagonal Nonlinear Requirements: The More General P-Critical Dynamical Analysis for UPPAM Recurrent Neural Networks,” Mathematical Problems in Engineering, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Zhilin Pu, Shouming Zhong, and Jialin Huang, “On the Role of Diffusion Behaviors in Stability Criterion for p-Laplace Dynamical Equations with Infinite Delay and Partial Fuzzy Parameters under Dirichlet Boundary Value,” Journal of Applied Mathematics, 2013. View at Publisher · View at Google Scholar
  • Ruofeng Rao, Shouming Zhong, and Xiongrui Wang, “Delay-dependent exponential stability for Markovian jumping stochastic Cohen-Grossberg neural networks with p-Laplace diffusion and partially known transition rates via a differential inequality,” Advances in Difference Equations, vol. 2013, no. 1, pp. 183, 2013. View at Publisher · View at Google Scholar