STABILITY ANALYSIS OF A CLASS OF GENERAL PERIODIC NEURAL NETWORKS WITH DELAYS AND IMPULSES

被引:4
作者
Zhao, Yong [1 ]
Xia, Yonghui [2 ]
Lu, Qishao [1 ]
机构
[1] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 210034, Peoples R China
基金
中国国家自然科学基金;
关键词
Neural network; periodic solution; delay; impulse; global exponential stability; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; DIFFERENTIAL-EQUATIONS; VARIABLE-COEFFICIENTS; ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; DYNAMICS MODEL; OPTIMIZATION; EXISTENCE; OSCILLATION;
D O I
10.1142/S012906570900204X
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Based on the inequality analysis, matrix theory and spectral theory, a class of general periodic neural networks with delays and impulses is studied. Some sufficient conditions are established for the existence and globally exponential stability of a unique periodic solution. Furthermore, the results are applied to some typical impulsive neural network systems as special cases, with a real-life example to show feasibility of our results.
引用
收藏
页码:375 / 386
页数:12
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