Stability of discrete-time fractional-order time-delayed neural networks in complex field

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作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Pratap, Anbalagan;Raja, Ramachandran;Cao, Jinde;Huang, Chuangxia*;Niezabitowski, Michal;...

通讯作者：

Huang, Chuangxia

作者机构：

[Pratap, Anbalagan] Alagappa Univ, Dept Math, Karaikkudi, Tamil Nadu, India.

[Raja, Ramachandran] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi, Tamil Nadu, India.

[Cao, Jinde] Southeast Univ, Sch Math, Nanjing, Peoples R China.

[Huang, Chuangxia] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Sch Math & Stat, Changsha 410114, Peoples R China.

[Niezabitowski, Michal] Silesian Tech Univ, Fac Automat Control Elect & Comp Sci, Inst Automat Control, Control & Robot Grp, Gliwice, Poland.

通讯机构：

[Huang, Chuangxia] C

Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Sch Math & Stat, Changsha 410114, Peoples R China.

语种：

英文

关键词：

Complex networks;Laplace transforms;Lyapunov methods;Stability criteria;Time delay;Complex-valued neural networks;Discrete-time neural networks;Fractional order;Function properties;Generalized gronwall inequalities;Neuron activation function;Stability results;Time-delayed neural networks;Neural networks

期刊：

Mathematical Methods in the Applied Sciences

ISSN：

0170-4214

年：

2021

卷：

期：

页码：

419-440

DOI：

10.1002/mma.6745

机构署名：

本校为通讯机构

院系归属：

数学与统计学院

摘要：

Dynamics of discrete-time neural networks have not been well documented yet in fractional-order cases, which is the first time documented in this manuscript. This manuscript is mainly considered on the stability criterion of discrete-time fractional-order complex-valued neural networks with time delays. When the fractional-order β holds 1 < β < 2, sufficient criteria based on a discrete version of generalized Gronwall inequality and rising function property are established for ensuring the finite stability of addressing fractional-order discr...

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Stability of discrete-time fractional-order time-delayed neural networks in complex field

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