Finite-time stabilization control for discontinuous time-delayed networks: New switching design

被引：17

作者：

Zhang, Ling-Ling ^{[1
,2
]}

Huang, Li-Hong ^{[3
]}

Cai, Zuo-Wei ^{[1
]}

机构：

[1] Hunan Womens Univ, Dept Informat Technol, Changsha 410002, Hunan, Peoples R China

[2] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China

[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

来源：

NEURAL NETWORKS | 2016年 / 75卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Time-delayed neural networks; Kakutani's fixed point theorem; Discontinuous activation; Differential inclusions; Finite-time stabilization; Switching controller; GLOBAL EXPONENTIAL STABILITY; GROSSBERG NEURAL-NETWORKS; DIFFERENTIAL-INCLUSIONS; PROGRAMMING PROBLEMS; DYNAMICAL BEHAVIORS; NONLINEAR-SYSTEMS; PERIODIC DYNAMICS; VARYING DELAYS; ACTIVATIONS; CONSENSUS;

D O I：

10.1016/j.neunet.2015.11.009

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 discusses the finite-time stabilization problem for time-varying delayed neural networks (DNNs) with discontinuous activation functions. By using fixed point theory and set-valued analysis, we establish the existence theorem of equilibrium point. In order to stabilize the states of this class of discontinuous DNNs in finite time, we design two different kinds of switching controllers which are described by discontinuous functions. Under the framework of Filippov solutions, several new and effective criteria are derived to realize finite-time stabilization of discontinuous DNNs based on the famous finite-time stability theory. Besides, the upper bounds of the settling time of stabilization are estimated. Numerical examples are finally provided to illustrate the correctness of the proposed design method and theoretical results. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：84 / 96

页数：13

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