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Zbl 1191.68484
Akhmet, M.U.; Aruğaslan, D.; Y ilmaz, E.
Stability in cellular neural networks with a piecewise constant argument. (English)
[J] J. Comput. Appl. Math. 233, No. 9, 2365-2373 (2010). ISSN 0377-0427

Summary: By using the concept of differential equations with piecewise constant arguments of generalized type, a model of cellular neural networks is developed. The Lyapunov-Razumikhin technique is applied to find sufficient conditions for the uniform asymptotic stability of equilibria. Global exponential stability is investigated by means of Lyapunov functions. An example with numerical simulations is worked out to illustrate the results.

MSC 2000:: *68T05 Learning and adaptive systems

Keywords: cellular neural networks; differential equations with a piecewise constant argument of generalized type; Lyapunov-Razumikhin technique; method of Lyapunov functions; linear matrix inequality

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