NEURAL NETWORKS, vol.23, no.7, pp.805-811, 2010 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Neural networks, Piecewise constant argument of generalized type, Method of Lyapunov functions, GLOBAL EXPONENTIAL STABILITY, TIME-VARYING DELAYS, DIFFERENTIAL-EQUATIONS, ASYMPTOTIC STABILITY, PERIODIC-SOLUTIONS, TRAVELING-WAVES
Middle East Technical University Affiliated:
In this paper, we apply the method of Lyapunov functions for differential equations with piecewise constant argument of generalized type to a model of recurrent neural networks (RNNs). The model involves both advanced and delayed arguments. Sufficient conditions are obtained for global exponential stability of the equilibrium point. Examples with numerical simulations are presented to illustrate the results. (C) 2010 Elsevier Ltd. All rights reserved.