An improved robust stability result for uncertain neural networks with multiple time delays

被引:74
作者
Arik, Sabri [1 ]
机构
[1] Isik Univ, Dept Elect & Elect Engn, TR-34980 Istanbul, Turkey
关键词
Neural networks; Delayed systems; Lyapunov functionals; Stability analysis; EXPONENTIAL STABILITY; VARYING DELAYS; DISTRIBUTED DELAYS; CRITERIA; DISCRETE; MATRICES; NORM;
D O I
10.1016/j.neunet.2014.02.008
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper proposes a new alternative sufficient condition for the existence, uniqueness and global asymptotic stability of the equilibrium point for the class of delayed neural networks under the parameter uncertainties of the neural system. The existence and uniqueness of the equilibrium point is proved by using the Homomorphic mapping theorem. The asymptotic stability of the equilibrium point is established by employing the Lyapunov stability theorems. The obtained robust stability condition establishes a new relationship between the network parameters of the system. We compare our stability result with the previous corresponding robust stability results derived in the past literature. Some comparative numerical examples together with some simulation results are also given to show the applicability and advantages of our result. (C) 2014 Elsevier Ltd. All rights reserved.
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页码:1 / 10
页数:10
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