Global exponential stability of uncertain neural networks with discontinuous Lurie-type activation and mixed delays

This paper deals with the problem of the global exponential stability of a class of uncertain neural networks with discontinuous Lurie-type activation and mixed delays. By establishing a new sufficient condition, we first prove the existence of the equilibrium point by using the Leray–Schauder alter...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2016-07, Vol.198, p.12-19
Main Authors: Qin, Sitian, Cheng, Qun, Chen, Guofang
Format: Article
Language:English
Subjects:
Activation
Delay
Existence theorems
Global exponential stability
Leray–Schauder alternative theorem
Lyapunov functional
Neural network with Lurie-type activation and mixed delays
Neural networks
Stability
Theorems
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Summary:This paper deals with the problem of the global exponential stability of a class of uncertain neural networks with discontinuous Lurie-type activation and mixed delays. By establishing a new sufficient condition, we first prove the existence of the equilibrium point by using the Leray–Schauder alternative theorem. Then, by employing a new Lyapunov functional, we obtain the global exponential stability of the equilibrium point of the uncertain neural network. In the end, some comparisons and numerical examples are given to show the improvement of the conclusions in this paper.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2015.07.147