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Zhang, Qianhong; Yang, Lihui

Dynamical behaviors of fuzzy cellular neural networks with discrete time delays. (English) Zbl 1205.34097

Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 56, No. 1, 181-194 (2010).
Summary: This paper is concerned with the dynamical behavior of fuzzy cellular neural networks with discrete time delays. By constructing proper Lyapunov functional, applying inequality technique and the homeomorphism theory, some new sufficient conditions checking the existence, uniqueness of the equilibrium point and its global exponential stability are obtained for fuzzy cellular neural networks. The results of this paper are new and they complement previously known results, Moreover an example is given to show the effectiveness of the obtained results.

Cited in 1 Document

MSC:

34K36 Fuzzy functional-differential equations
34K20 Stability theory of functional-differential equations
34K13 Periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics

Keywords:

fuzzy cellular neural networks; global exponential stability; homeomorphism theory; Lyapunov functional; equilibrium point
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References:

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