Dynamics of neural networks with variable coefficients and time-varying delays

Authors:
Haijun Jiang;Zhidong Teng
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
Venue:
Neural Networks
Year:
2006

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Abstract

This paper studies the general neural networks dynamical systems with variable coefficients and time-varying delays. By applying the Young inequality technique, Dini derivative and introducing many real parameters, and estimating the upper bound of solutions of the system, a series of new and useful criteria on the boundedness, global exponential stability and the existence and global exponential stability of the periodic solutions are established. Particularly, when the system degenerates into the autonomous case, the new criteria on the existence, uniqueness and global exponential stability of the equilibrium points are obtained. The results obtained in this paper extend and generalize the corresponding results existing in previous literature.