Stability analysis of recurrent neural networks with piecewise constant argument of generalized type

Authors:
M. U. Akhmet;D. Aruğaslan;E. Yılmaz
Affiliations:
Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey;Department of Mathematics, Süleyman Demirel University, 32260, Isparta, Turkey;Institute of Applied Mathematics, Middle East Technical University, 06531, Ankara, Turkey
Venue:
Neural Networks
Year:
2010

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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.