Stability in cellular neural networks with a piecewise constant argument


AKHMET M. , ARUĞASLAN ÇİNÇİN D., YILMAZ E.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.233, ss.2365-2373, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 233 Konu: 9
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.cam.2009.10.021
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.2365-2373

Özet

In this paper, by using the concept of differential equations with piecewise constant arguments of generalized type [1-4], a model of cellular neural networks (CNNs) [5,6] 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. (C) 2009 Elsevier B.V. All rights reserved.