Global asymptotic and exponential synchronization of ring neural network with reaction-diffusion term and unbounded delay

被引：11

作者：

Tyagi, Swati ^{[1
]}

Abbas, Syed ^{[1
]}

Kirane, Mokhtar ^{[2
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India

[2] Univ La Rochelle, Fac Sci & Technol, LaSIE, Ave Michel Creneau, F-17000 La Rochelle, France

来源：

NEURAL COMPUTING & APPLICATIONS | 2018年 / 30卷 / 02期

关键词：

Reaction-diffusion term; Ring neural network; Time-varying delay; Lyapunov functional; Asymptotic stability; Exponential synchronization; TIME-VARYING DELAYS; STABILITY ANALYSIS; IDENTICAL CELLS; MIXED DELAYS; OSCILLATION; BIFURCATION; DISCRETE; MODEL;

D O I：

10.1007/s00521-016-2697-6

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 paper, we consider a ring neural network of coupled neurons with distributed and discrete time-varying delays along with the reaction-diffusion terms. We derive sufficient conditions that ensure the existence and uniqueness of the equilibrium point, synchronized asymptotic stability and exponential synchronization by using the theory of topological degree, properties of M-matrix, Lyapunov functional and analytic methods. The obtained results remove the assumption on the boundedness of activation functions. At the end, we give two examples to show the validity of our analysis.

引用

页码：487 / 501

页数：15

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