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

Qianhong Zhang; Lihui Yang; Daixi Liao

doi:10.2478/v10006-011-0051-9

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

International Journal of Applied Mathematics and Computer Science

Volume 21 (2011): Issue 4 (December 2011)

By: Qianhong Zhang, Lihui Yang and Daixi Liao

Open Access

|Dec 2011

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.

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