Stability Analysis for a Class of Impulsive Bidirectional Associative Memory (BAM) Neural Networks with Distributed Delays and Leakage Time-Varying Delays

被引:30
作者
Aouiti, Chaouki [1 ]
Assali, El Abed [1 ]
机构
[1] Univ Carthage, Fac Sci Bizerta, Dept Math, Res Units Math & Applicat UR13ES47, Zarzouna 7021, Bizerta, Tunisia
关键词
Bidirectional associative memory (BAM) neural networks; Leakage time-varying delays; Impulse; Lyapunov functional; Global exponential stability; Uniform asymptotic stability; Global asymptotic stability; Uniform stability; GLOBAL EXPONENTIAL STABILITY; ALMOST-PERIODIC SOLUTION; ASYMPTOTIC STABILITY; EXISTENCE; SYNCHRONIZATION; TERMS;
D O I
10.1007/s11063-018-9937-y
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, by employing contraction mapping principle theorem and by finding suitable Lyapunov-Krasovskii functional, some sufficient conditions are given for the existence and the global exponential stability, the uniform asymptotic stability, the global asymptotic stability and the uniform stability of the unique equilibrium point of bidirectional associative memory neural networks with distributed delays and leakage time-varying delays. Three illustrative examples are given at the end of this paper to demonstrate the effectiveness of our theoretical results.
引用
收藏
页码:851 / 885
页数:35
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