title: Stability analysis of recurrent neural networks with piecewise constant argument of generalized type.
abstract: 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.
authors.affiliation: Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey. marat@metu.edu.tr
authors.forename: M U
authors.initials: MU
authors.lastname: Akhmet
authors.forename: D
authors.initials: D
authors.lastname: Aruğaslan
authors.forename: E
authors.initials: E
authors.lastname: Yilmaz
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008959:Models, Neurological; D016571:Neural Networks, Computer