Asymptotically stable high-order neutral cellular neural networks with proportional delays and D operators

被引：79

作者：

Huang, Chuangxia ^{[1
,2
]}

Su, Renli ^{[1
,2
]}

Cao, Jinde ^{[3
]}

Xiao, Songlin ^{[4
]}

机构：

[1] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China

[2] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[4] Putian Univ, Sch Math & Finance, Putian 351100, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2020年 / 171卷

基金：

中国国家自然科学基金;

关键词：

Neutral cellular neural networks; Proportional delay; Asymptotic stability; D operator; ALMOST-PERIODIC SOLUTIONS; NICHOLSONS BLOWFLIES MODEL; LIMIT-CYCLES; STABILITY; SYSTEMS;

D O I：

10.1016/j.matcom.2019.06.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper aims to deal with the asymptotic stability of high-order neutral cellular neural networks (HNCNNs) incorporating proportional delays and D operators. Employing Lyapunov method, inequality technique and concise mathematical analysis proof, sufficient criteria on the global exponential asymptotical stability of the proposed HNCNNs are obtained. The main results provide us some light for designing stable HNCNNs and complement some earlier publications. In addition, simulations show that the theoretical convergence is in excellent agreement with the numerically observed behavior. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：127 / 135

页数：9

共 23 条

[1] Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting [J].

Duan, Lian ;

Fang, Xianwen ;

Huang, Chuangxia .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (05) :1954-1965

[2] Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growthmodel [J].

Duan, Lian ;

Huang, Chuangxia .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) :814-822

[3] Stability and Hopf Bifurcation of a Delayed Prey-Predator Model with Disease in the Predator [J].

Huang, Chuangxia ;

Zhang, Hua ;

Cao, Jinde ;

Hu, Haijun .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (07)

[4] ALMOST PERIODICITY ANALYSIS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL WITH NONLINEAR DENSITY-DEPENDENT MORTALITY TERM [J].

Huang, Chuangxia ;

Zhang, Hua ;

Huang, Lihong .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (06) :3337-3349

[5] Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method [J].

Huang, Chuangxia ;

Zhang, Hua .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (02)

[6] New studies on dynamic analysis of inertial neural networks involving non-reduced order method [J].

Huang, Chuangxia ;

Liu, Bingwen .

NEUROCOMPUTING, 2019, 325 :283-287

[7] Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions [J].

Huang, Chuangxia ;

Liu, Bingwen ;

Tian, Xuemei ;

Yang, Luanshan ;

Zhang, Xiaoxiao .

NEURAL PROCESSING LETTERS, 2019, 49 (02) :625-641

[8] Dynamical behaviors of a food-chain model with stage structure and time delays [J].

Huang, Chuangxia ;

Qiao, Yuncheng ;

Huang, Lihong ;

Agarwal, Ravi P. .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[9] On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities [J].

Huang, Chuangxia ;

Yang, Zhichun ;

Yi, Taishan ;

Zou, Xingfu .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (07) :2101-2114

[10]

Jia R., 2018, ADV DIFFER EQU-NY, V2018, P1

← 1 2 3 →