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Zbl 1195.93073
Wang, Gang; Zhang, Huaguang; Chen, Bing; Tong, Shaocheng
Fuzzy hyperbolic neural network with time-varying delays. (English)
[J] Fuzzy Sets Syst. 161, No. 19, 2533-2551 (2010). ISSN 0165-0114

Summary: The formula of fuzzy basis functions with time-varying delays (DFBF) is firstly given. Based on the DFBF, a novel fuzzy hyperbolic neural network with time-varying delays (DFHNN) and its approximation properties are presented, respectively. By constructing an appropriate Lyapunov-Krasovskii functional, the stability of DFHNN is discussed, and some new criteria concerning the global exponential stability of DFHNN are proposed. Finally, three numerical examples are given to demonstrate the effectiveness of the obtained results.

MSC 2000:: *93C42 Fuzzy control
92B20 General theory of neural networks
93D20 Asymptotic stability of control systems

Keywords: fuzzy basis functions; fuzzy hyperbolic neural networks; time-varying delays; global exponential stability; Lyapunov-Krasovskii functional

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