Journal Article

·2004

Global asymptotic stability of a class of neural networks with time varying delays

Tolga Ensarı , Sabri Arik , V. Tavşanoglu YTU

Abstract

This work presents a new sufficient condition for the uniqueness and global asymptotic stability (GAS) of the equilibrium point for a larger class of neural networks with time varying delays. It is shown that the use of a more general type of Lyapunov-Krasovskii functional leads to establish global asymptotic stability of a larger class of delayed neural networks that the neural network model considered in some previous papers.

Keywords

Exponential stability Uniqueness Artificial neural network Equilibrium point Class (philosophy) Control theory (sociology) Stability (learning theory) Applied mathematics Mathematics Work (physics) Lyapunov function Point (geometry) Computer science Nonlinear system Differential equation Mathematical analysis Artificial intelligence Control (management) Engineering Physics Machine learning

Subject Areas

Neural Networks Stability and Synchronization ·Computer Networks and Communications ·Physical Sciences
Neural Networks and Applications ·Artificial Intelligence ·Physical Sciences
stochastic dynamics and bifurcation ·Statistical and Nonlinear Physics ·Physical Sciences

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