Fuzzy hyperbolic neural network with time-varying delays

Authors:
Gang Wang;Huaguang Zhang;Bing Chen;Shaocheng Tong
Affiliations:
School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China;School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China and Key Laboratory of Integrated Automation of Process Industry (Northeastern University) o ...;Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, China;Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121001, China
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

In this paper, 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.