Global robust exponential stability of interval BAM neural network with mixed delays under uncertainty

被引:10
作者
Ding, Ke [1 ]
Huang, Nan-Jing
Xu, Xing
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] China Netcom Grp Co Ltd, Shijiazhuang Branch, Shijiazhuang 050011, Hebei, Peoples R China
基金
中国国家自然科学基金;
关键词
interval neural networks; LMI; mixed delays; robust stability; uncertainty;
D O I
10.1007/s11063-006-9033-6
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, a class of interval bidirectional associative memory (BAM) neural networks with mixed delays under uncertainty are introduced and studied, which include many well-known neural networks as special cases. The mixed delays mean the simultaneous presence of both the discrete delay, and the distributive delay. Furthermore, the parameter of matrix is taken values in a interval and controlled by a unknown, but bounded function. By using a suitable Lyapunov-Krasovskii function with the linear matrix inequality (LMI) technique, we obtain a sufficient condition to ensure the global robust exponential stability for the interval BAM neural networks with mixed delays under uncertainty, which is more generalized and less conservative, restrictive than previous results. In the last section, the validity of our stability result is demonstrated by a numerical example.
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页码:127 / 141
页数:15
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