Stability analysis for complex-valued neural networks with fractional order

被引：5

作者：

Panda, Sumati Kumari ^{[1
]}

Nagy, A. M. ^{[2
,3
]}

Vijayakumar, Velusamy ^{[4
]}

Hazarika, Bipan ^{[5
]}

机构：

[1] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Prades, India

[2] Kuwait Univ, Fac Sci, Dept Math, Safat 13060, Kuwait

[3] Benha Univ, Fac Sci, Dept Math, Banha 13518, Egypt

[4] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632 014, Tamil Nadu, India

[5] Gauhati Univ, Dept Math, Gauhati, Assam, India

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 175卷

关键词：

Complex-valued neural networks; Complex-valued rectangular b-metric space; Fractional-order; Fixed point; Uniform stability; Equilibrium point; DYNAMICS;

D O I：

10.1016/j.chaos.2023.114045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the context of complex-valued rectangular b-metric spaces, the present study investigates the stability of complex-valued neural networks (CVNNs) with fractional order. Using the generalized contraction principle, we address the suitable condition for uniform stability of fractionally ordered CVNNs and establish the existence and uniqueness of the equilibrium point. Few numerical results are presented to show the feasibility and correctness of the results presented.

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页数：17

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