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Delay-dependent asymptotic stability for neural networks with distributed delays
Authors:Xiaofeng Liao  Qun Liu  Wei Zhang  
Institution:aSchool of Computer and Information, Chongqing Jiaotong University, 400074 Chongqing, PR China;bDepartment of Computer Science and Engineering, Chongqing University, 400030 Chongqing, PR China;cDepartment of Computer Science and Technology, Chongqing University of Post and Telecommunication, PR China;dDepartment of Computer and Modern Education Technology, Chongqing Education College, PR China
Abstract:In this paper, dynamical behavior of a class of neural networks with distributed delays is studied by employing suitable Lyapunov functionals, delay-dependent criteria to ensure local and global asymptotic stability of the equilibrium of the neural networks. Our results are applied to classical Hopfield neural networks with distributed delays and some novel asymptotic stability criteria are also derived. The obtained conditions are shown to be less conservative and restrictive than those reported in the known literature.
Keywords:Neural networks  Distributed delays  Lyapunov functionals  Local and global asymptotic stability
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