Delay-Derivative-Dependent Stability for Delayed Neural Networks With Unbound Distributed Delay

被引:69
作者
Li, Tao [1 ]
Song, Aiguo [1 ]
Fei, Shumin [2 ]
Wang, Ting [2 ]
机构
[1] Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Peoples R China
[2] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Peoples R China
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2010年 / 21卷 / 08期
基金
中国国家自然科学基金;
关键词
Asymptotical stability; delayed neural networks (DNNs); LMI technique; Lyapunov-Krasovskii functional (LKF); unbounded distributed delay; TIME-VARYING DELAY; GLOBAL ASYMPTOTIC STABILITY; ROBUST STABILITY; EXPONENTIAL STABILITY; CRITERIA; DISCRETE; SYSTEMS;
D O I
10.1109/TNN.2010.2051455
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 brief, based on Lyapunov-Krasovskii functional approach and appropriate integral inequality, a new sufficient condition is derived to guarantee the global stability for delayed neural networks with unbounded distributed delay, in which the improved delay-partitioning technique and general convex combination are employed. The LMI-based criterion heavily depends on both the upper and lower bounds on time delay and its derivative, which is different from the existent ones and has wider application fields than some present results. Finally, three numerical examples can illustrate the efficiency of the new method based on the reduced conservatism which can be achieved by thinning the delay interval.
引用
收藏
页码:1365 / 1371
页数:8
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