Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays

被引：30

作者：

Aouiti, Chaouki ^{[1
,2
]}

Assali, El abed ^{[1
,2
]}

Cao, Jinde ^{[3
,4
,5
]}

Alsaedi, Ahmed ^{[6
]}

机构：

[1] Univ Carthage, Dept Math, Fac Sci Bizerta, Res Unit Math, UR13ES47,BP W, Zarzouna 7021, Bizerta, Tunisia

[2] Univ Carthage, Dept Math, Fac Sci Bizerta, Res Unit Applicat, UR13ES47,BP W, Zarzouna 7021, Bizerta, Tunisia

[3] Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R China

[4] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing, Jiangsu, Peoples R China

[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia

[6] King Abdulaziz Univ, Dept Math, NAAM, Res Grp, Jeddah, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 10期

关键词：

Neutral-type competitive neural networks; leakage delay; proportional delay; exponential convergence; ALMOST-PERIODIC SOLUTION; STABILITY ANALYSIS; EXISTENCE; CRITERIA; SYSTEMS; MULTISTABILITY; TERM;

D O I：

10.1080/00207721.2018.1496297

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with a class of neutral-type competitive neural networks with multi-proportional delays, distributed delays and leakage delays. By employing the differential inequality theory, some sufficient conditions are given to ensure that all solutions of the addressed system converge exponentially to zero vector. An illustrative example is also given at the end of this paper to show the effectiveness of our results.

引用

页码：2202 / 2214

页数：13

共 59 条

[41] Multistability of Second-Order Competitive Neural Networks With Nondecreasing Saturated Activation Functions [J].

Nie, Xiaobing ;

Cao, Jinde .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (11) :1694-1708

[42] Existence and global stability of equilibrium point for delayed competitive neural networks with discontinuous activation functions [J].

Nie, Xiaobing ;

Cao, Jinde .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (03) :459-474

[43] Multistability of competitive neural networks with time-varying and distributed delays [J].

Nie, Xiaobing ;

Cao, Jinde .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) :928-942

[44] Asymptotic stability of Markovian switching genetic regulatory networks with leakage and mode-dependent time delays [J].

Ratnavelu, K. ;

Kalpana, M. ;

Balasubramaniam, P. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (07) :1615-1638

[45] Neural Network-Based Passive Filtering for Delayed Neutral-Type Semi-Markovian Jump Systems [J].

Shi, Peng ;

Li, Fanbiao ;

Wu, Ligang ;

Lim, Cheng-Chew .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (09) :2101-2114

[46] Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays [J].

Song, Qiankun ;

Cao, Jinde .

ADVANCES IN DIFFERENCE EQUATIONS, 2011,

[47] Existence and global exponential stability of almost periodic solution for delayed competitive neural networks with discontinuous activations [J].

Tan, Yanxiang ;

Jing, Ke .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (11) :2821-2839

[48] Global stability analysis of competitive neural networks with mixed time-varying delays and discontinuous neuron activations [J].

Wang, Yanqun ;

Huang, Lihong .

NEUROCOMPUTING, 2015, 152 :85-96

[49] An LMI approach for exponential synchronization of switched stochastic competitive neural networks with mixed delays [J].

Yang, Xinsong ;

Huang, Chuangxia ;

Cao, Jinde .

NEURAL COMPUTING & APPLICATIONS, 2012, 21 (08) :2033-2047

[50] Global exponential convergence for a class of neutral functional differential equations with proportional delays [J].

Yu, Yuehua .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (15) :4535-4540

← 1 2 3 4 5 6 →