Stability analysis of stochastic fractional-order competitive neural networks with leakage delay

被引：15

作者：

Ali, M. Syed ^{[1
]}

Hymavathi, M. ^{[1
]}

Priya, Bandana ^{[2
]}

Kauser, Syeda Asma ^{[3
]}

Thakur, Ganesh Kumar ^{[4
]}

机构：

[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

[2] GL Bajaj Inst Technol & Management, Dept Appl Sci, Greater Noida, India

[3] Prince Sattam bin Abdulaziz Univ, Dept Math, Al Kharj, Saudi Arabia

[4] Krishna Engn Coll, Dept Appl Sci, Ghaziabad, Uttar Pradesh, India

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 04期

关键词：

fractional order; stochastic; competitive neural networks; leakage; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; GLOBAL STABILITY; NEUTRAL-TYPE; TIME; DISCRETE; SYSTEMS; SYNCHRONIZATION;

D O I：

10.3934/math.2021193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article, we explore the stability analysis of stochastic fractional-order competitive neural networks with leakage delay. The main objective of this paper is to establish a new set of sufficient conditions, which is for the uniform stability in mean square of such stochastic fractional-order neural networks with leakage. Specifically, the presence and uniqueness of arrangements and stability in mean square for a class of stochastic fractional-order neural systems with delays are concentrated by using Cauchy-Schwartz inequality, Burkholder-Davis-Gundy inequality, Banach fixed point principle and stochastic analysis theory, respectively. Finally, four numerical recreations are given to confirm the hypothetical discoveries.

引用

页码：3205 / 3242

页数：38

共 60 条

[41] A note on the neutral stochastic functional differential equation with infinite delay and Poisson jumps in an abstract space [J].

Ren, Yong ;

Chen, Li .

JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)

[42] Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay [J].

Ren, Yong ;

Xia, Ningmao .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (01) :72-79

[43] APPROXIMATE CONTROLLABILITY OF NONLINEAR DETERMINISTIC AND STOCHASTIC SYSTEMS WITH UNBOUNDED DELAY [J].

Sakthivel, R. ;

Nieto, Juan J. ;

Mahmudov, N. I. .

TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (05) :1777-1797

[44] Asymptotic stability of nonlinear impulsive stochastic differential equations [J].

Sakthivel, R. ;

Luo, J. .

STATISTICS & PROBABILITY LETTERS, 2009, 79 (09) :1219-1223

[45] Asymptotic stability of impulsive stochastic partial differential equations with infinite delays [J].

Sakthivel, R. ;

Luo, J. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) :1-6

[46] Robust Synchronization of Fractional-Order Uncertain Chaotic Systems Based on Output Feedback Sliding Mode Control [J].

Song, Chao ;

Fei, Shumin ;

Cao, Jinde ;

Huang, Chuangxia .

MATHEMATICS, 2019, 7 (07)

[47] Global exponential stability of a class of impulsive cellular neural networks with supremums [J].

Stamova, Ivanka ;

Stamov, Trayan ;

Li, Xiaodi .

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2014, 28 (11) :1227-1239

[48] Global robust stability criteria of stochastic Cohen-Grossberg neural networks with discrete and distributed time-varying delays [J].

Su, Weiwei ;

Chen, Yiming .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) :520-528

[49] Global asymptotic stability of impulsive fractional-order BAM neural networks with time delay [J].

Wang, Fei ;

Yang, Yongqing ;

Xu, Xianyun ;

Li, Li .

NEURAL COMPUTING & APPLICATIONS, 2017, 28 (02) :345-352

[50] The number and stability of limit cycles for planar piecewise linear systems of node-saddle type [J].

Wang, Jiafu ;

Chen, Xiaoyan ;

Huang, Lihong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (01) :405-427

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