Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

Authors:
Qianhong Zhang;Lihui Yang;Daixi Liao
Affiliations:
Guizhou Key Laboratory of Economic Systems Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, PR China;Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, PR China;Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, PR China
Venue:
International Journal of Applied Mathematics and Computer Science
Year:
2011

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Abstract

Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.