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

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  • Ruofeng Rao
  • Zhilin Pu

Abstract

By formulating a contraction mapping and the matrix exponential function, the authors apply linear matrix inequality (LMI) technique to investigate and obtain the LMI-based stability criterion of a class of time-delay Takagi-Sugeno (T-S) fuzzy differential equations. To the best of our knowledge, it is the first time to obtain the LMI-based stability criterion derived by a fixed point theory. It is worth mentioning that LMI methods have high efficiency and other advantages in largescale engineering calculations. And the feasibility of LMI-based stability criterion can efficiently be computed and confirmed by computer Matlab LMI toolbox. At the end of this paper, a numerical example is presented to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Ruofeng Rao & Zhilin Pu, 2013. "LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, September.
  • Handle: RePEc:hin:jnlaaa:261353
    DOI: 10.1155/2013/261353
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    Cited by:

    1. Ruofeng Rao & Shouming Zhong, 2017. "Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory," Complexity, Hindawi, vol. 2017, pages 1-9, September.

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