A new fixed-time stabilization approach for neural networks with time-varying delays

被引：18
作者：
Aouitri, Chaouki [1 ]
Miaadi, Foued [1 ]
机构：
[1] Univ Carthage, Fac Sci Bizerta, Dept Math, Res Units Math & Applicat UR13ES47, Bizerte, Tunisia
来源：
NEURAL COMPUTING & APPLICATIONS | 2020年 / 32卷 / 08期
关键词：
Neural networks; Fixed-time stabilization; Time delay systems; LMI; Settling time; Delay-free controller; FINITE-TIME; EXPONENTIAL STABILIZATION; PERIODIC-SOLUTIONS; STABILITY; SYNCHRONIZATION; SYSTEMS; DESIGN; BOUNDEDNESS;
D O I：
10.1007/s00521-019-04586-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 article, we investigate the problem of fixed-time stabilization (FXTSB) of delayed neural networks (DNNs). Firstly, some new general conditions on the control law are established to guarantee the FXTSB of DNNs. Secondly, specific linear matrix inequalities FXTSB conditions are obtained by constructing different kinds of controller which include a delay-dependent and free ones. Furthermore, the FXTSB of DNNs with unbounded activation functions is investigated and the restriction of differentiability of the time-varying delay is removed. Finally, three numerical examples accompanied by graphical illustrations are given to illuminate our theoretical results and based on chaotic synchronization, our approach has been successfully applied to secure communication which can be realized with a time delay.
引用
收藏
页码：3295 / 3309
页数：15
相关论文
共 66 条
[1]   Finite-time boundedness, L2-gain analysis and control of Markovian jump switched neural networks with additive time-varying delays [J].
Ali, M. Syed ;
Saravanan, S. ;
Cao, Jinde .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 23 :27-43
[2]  
[Anonymous], REGULATION CONTROL M
[3]   The design of beta basis function neural network and beta fuzzy systems by a hierarchical genetic algorithm [J].
Aouiti, C ;
Alimi, AM ;
Karray, F ;
Maalej, A .
FUZZY SETS AND SYSTEMS, 2005, 154 (02) :251-274
[4]  
Aouiti C, 2002, ADV CONTR COMPUT ENG, V42, P975, DOI DOI 10.1080/716067203
[5]   Oscillation of impulsive neutral delay generalized high-order Hopfield neural networks [J].
Aouiti, Chaouki .
NEURAL COMPUTING & APPLICATIONS, 2018, 29 (09) :477-495
[6]   Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays [J].
Aouiti, Chaouki ;
Coirault, Patrick ;
Miaadi, Foued ;
Moulay, Emmanuel .
NEUROCOMPUTING, 2017, 260 :378-392
[7]   Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays [J].
Aouiti, Chaouki ;
M'hamdi, Mohammed Salah ;
Cao, Jinde ;
Alsaedi, Ahmed .
NEURAL PROCESSING LETTERS, 2017, 45 (02) :615-648
[8]   Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays [J].
Aouiti, Chaouki ;
M'hamdi, Mohammed Salah ;
Touati, Abderrahmane .
NEURAL PROCESSING LETTERS, 2017, 45 (01) :121-140
[9]   Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays [J].
Aouiti, Chaouki .
COGNITIVE NEURODYNAMICS, 2016, 10 (06) :573-591
[10]  
BERMAN A, 1994, CLASSICS APPL MATH, V9, DOI DOI 10.1109/LGRS.2014.2349538
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