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Global Lagrange Stability for Takagi-Sugeno Fuzzy Cohen-Grossberg BAM Neural Networks with Time-varying Delays

Jingfeng Wang, Lixin Tian*, and Zaili Zhen
International Journal of Control, Automation, and Systems, vol. 16, no. 4, pp.1603-1614, 2018

Abstract : "This paper concerns the globally exponential stability in Lagrange sense for Takagi-Sugeno (T-S) fuzzy Cohen-Grossberg BAM neural networks with time-varying delays. Based on the Lyapunov functional method and inequality techniques, two different types of activation functions which include both Lipschitz function and general activation functions are analyzed. Several sufficient conditions in linear matrix inequality form are derived to guarantee the Lagrange exponential stability of Cohen-Grossberg BAM neural networks with time-varying delays which are represented by T-S fuzzy models. Finally, simulation results demonstrate the effectiveness of the theoretical results."

Keyword : "Cohen-Grossberg BAM neural networks, Lagrange stability, Lyapunov functional, time-varying delays, T-S fuzzy model."

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