Further stability criteria on discrete-time delayed neural networks with distributed delay

被引:27
|
作者
Wang, Ting [1 ]
Zhang, Chun [1 ]
Fei, Shumin [1 ]
Li, Tao [2 ,3 ]
机构
[1] Southeast Univ, Minist Educ, Sch Automat, Key Lab Measurement & Control CSE, Nanjing 210096, Jiangsu, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Sch Automat Engn, Nanjing 210016, Jiangsu, Peoples R China
[3] Zhangjiagang Res Inst Smart Grid, Zhangjiagang 215600, Peoples R China
基金
中国国家自然科学基金;
关键词
Discrete-time case; Delayed neural networks (DNNs); Robust exponential stability; Time-varying delay; LMI approach; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; ROBUST STABILITY; DEPENDENT STABILITY;
D O I
10.1016/j.neucom.2012.12.017
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 letter, together with some novel Lyapunov-Krasovskii functional (LKF) terms and effective techniques, two novel sufficient conditions can be established to guarantee a class of discrete-time delayed neural networks with distributed delay to be exponentially stable, in which the linear fractional uncertainties are involved and the information on time-delay is fully utilized. Through employing the reciprocal convex technique, some previously ignored terms can be reconsidered when estimating the time difference of LKF and the criteria are presented via linear matrix inequalities (LMIs), whose solvability heavily depends on the information of addressed systems. Finally, three numerical examples are provided to show that the achieved conditions can be less conservative than some existing ones based on comparing results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:195 / 203
页数:9
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