Stability in cellular neural networks with a piecewise constant argument

作者：Akhmet M U^*; Arugaslan D; Yilmaz E

来源：Journal of Computational and Applied Mathematics, 2010, 233(9): 2365-2373.

DOI：10.1016/j.cam.2009.10.021

• Cellular neural networks
• Differential equations with a piecewise constant argument of generalized type
• Lyapunov-Razumikhin technique
• Method of Lyapunov functions
• Linear matrix inequality

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.

• 出版日期2010-3-1