Global asymptotical stability for a class of non-autonomous impulsive inertial neural networks with unbounded time-varying delay

被引:12
作者
Li, Hongfei [1 ]
Zhang, Wei [1 ]
Li, Chuandong [1 ]
Zhang, Wanli [1 ]
机构
[1] Southwest Univ, Natl & Local Joint Engn Lab Intelligent Transmiss, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China
关键词
Global asymptotic stability; Unbounded time-varying delays; Impulse; Inertial neural networks; EXPONENTIAL STABILITY; SYNCHRONIZATION; PERIODICITY; EXISTENCE;
D O I
10.1007/s00521-018-3498-x
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This article is concerned with the global asymptotical stability of non-autonomous impulsive inertial neural networks with unbounded delay. A new impulsive differential delay inequality which involves unbounded and non-differential delay is established. Moreover, based on a new impulsive differential delay inequality, new analysis techniques can effectively avoid the difficulties caused by unbounded delay and impulses, and several novel delay-dependent inequalities are obtained to ensure the global stability of this model. In the end, three examples are given to claim the validity of theoretical analysis.
引用
收藏
页码:6757 / 6766
页数:10
相关论文
共 37 条
[1]   Existence and Uniqueness of Pseudo Almost-Periodic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays [J].
Ammar, Boudour ;
Cherif, Farouk ;
Alimi, Adel M. .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (01) :109-118
[3]   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
[5]   STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].
BABCOCK, KL ;
WESTERVELT, RM .
PHYSICA D, 1986, 23 (1-3) :464-469
[6]  
Bemporad A, 1998, IEEE DECIS CONTR P, P2133, DOI 10.1109/CDC.1998.758651
[7]   μ-Stability of Nonlinear Positive Systems With Unbounded Time-Varying Delays [J].
Chen, Tianping ;
Liu, Xiwei .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (07) :1710-1715
[8]   Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays [J].
Esteves, Salete ;
Oliveira, Jose J. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 :333-346
[9]   On delayed impulsive Hopfield neural networks [J].
Guan, ZH ;
Chen, GR .
NEURAL NETWORKS, 1999, 12 (02) :273-280
[10]   Second-Order Continuous-Time Algorithms for Economic Power Dispatch in Smart Grids [J].
He, Xing ;
Ho, Daniel W. C. ;
Huang, Tingwen ;
Yu, Junzhi ;
Abu-Rub, Haitham ;
Li, Chaojie .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2018, 48 (09) :1482-1492