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Exponential stability of Cohen–Grossberg neural networks with delays

✍ Scribed by Xiaofeng Liao; Jiyun Yang; Songtao Guo

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
169 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis

The exponential stability characteristics of the Cohen-Grossberg neural networks with discrete delays are studied in this paper, without assuming the symmetry of connection matrix as well as the monotonicity and differentiability of the activation functions and the self-signal functions. By constructing suitable Lyapunov functionals, the delay-independent sufficient conditions for the networks converge exponentially towards the equilibrium associated with the constant input are obtained. By employing Halanay-type inequalities, some sufficient conditions for the networks to be globally exponentially stable are also derived. It is not doubt that our results are significant and useful for the design and applications of the Cohen-Grossberg neural networks.

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