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On global exponential stability of discrete-time Hopfield neural networks with variable delays. (English) Zbl 1183.39013
Summary: Global exponential stability of a class of discrete-time Hopfield neural networks with variable delays is considered. By making use of a difference inequality, a new global exponential stability result is provided. The result only requires the delay to be bounded. For this reason, the result is milder than those presented in the earlier references. Furthermore, two examples are given to show the efficiency of our result.

MSC:
39A30Stability theory (difference equations)
39A12Discrete version of topics in analysis
39A10Additive difference equations
34K20Stability theory of functional-differential equations
92B20General theory of neural networks (mathematical biology)
WorldCat.org
Full Text: DOI EuDML
References:
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