Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations

被引：100

作者：

Wang, Leimin ^{[1
]}

Zeng, Zhigang ^{[2
]}

Hu, Junhao ^{[3
]}

Wang, Xiaoping ^{[2
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China

[3] South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China

来源：

NEURAL NETWORKS | 2017年 / 87卷

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Delayed neural networks; Discontinuous activations; Global fixed-time synchronization; Adaptive control; State feedback control; UNKNOWN TRANSITION-PROBABILITIES; FINITE-TIME; EXPONENTIAL SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; STABILIZATION; STABILITY; CONVERGENCE;

D O I：

10.1016/j.neunet.2016.12.006

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper addresses the controller design problem for global fixed-time synchronization of delayed neural networks (DNNs) with discontinuous activations. To solve this problem, adaptive control and state feedback control laws are designed. Then based on the two controllers and two lemmas, the error system is proved to be globally asymptotically stable and even fixed-time stable. Moreover, some sufficient and easy checked conditions are derived to guarantee the global synchronization of drive and response systems in fixed time. It is noted that the settling time functional for fixed-time synchronization is independent on initial conditions. Our fixed-time synchronization results contain the finite-time results as the special cases by choosing different values of the two controllers. Finally, theoretical results are supported by numerical simulations. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：122 / 131

页数：10

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