A general method for stabilizing the fractional-order discrete neural networks via linear control law

Mohamed Mellah; Adel Ouannas; Iqbal M. Batiha

A general method for stabilizing the fractional-order discrete neural networks via linear control law

Mohamed Mellah
, Adel Ouannas
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

University of Tebessa
University of Oum El Bouaghi
Al-Zaytoonah University of Jordan

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This paper intends to propose a general approach established to control the states of some classes of fractional-order discrete neural networks. For this reason, a novel influential result is set up and theoretically derived in light of the Lyapunov direct method in order to assure the accomplishment of the desired stabilization for those classes under consideration. The influence of such stabilization approach is validated through some performed numerical simulations.

Original language	English
Pages (from-to)	993-1002
Number of pages	10
Journal	Nonlinear Studies
Volume	29
Issue number	4
State	Published - 2022

Keywords

Fractional discrete calculus
Lyapunov direct method
Neural networks
Stabilization

Cite this

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title = "A general method for stabilizing the fractional-order discrete neural networks via linear control law",

abstract = "This paper intends to propose a general approach established to control the states of some classes of fractional-order discrete neural networks. For this reason, a novel influential result is set up and theoretically derived in light of the Lyapunov direct method in order to assure the accomplishment of the desired stabilization for those classes under consideration. The influence of such stabilization approach is validated through some performed numerical simulations.",

keywords = "Fractional discrete calculus, Lyapunov direct method, Neural networks, Stabilization",

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pages = "993--1002",

journal = "Nonlinear Studies",

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AU - Mellah, Mohamed

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

N1 - Publisher Copyright: © CSP - Cambridge, UK; I&S - Florida, USA, 2022

PY - 2022

Y1 - 2022

N2 - This paper intends to propose a general approach established to control the states of some classes of fractional-order discrete neural networks. For this reason, a novel influential result is set up and theoretically derived in light of the Lyapunov direct method in order to assure the accomplishment of the desired stabilization for those classes under consideration. The influence of such stabilization approach is validated through some performed numerical simulations.

AB - This paper intends to propose a general approach established to control the states of some classes of fractional-order discrete neural networks. For this reason, a novel influential result is set up and theoretically derived in light of the Lyapunov direct method in order to assure the accomplishment of the desired stabilization for those classes under consideration. The influence of such stabilization approach is validated through some performed numerical simulations.

KW - Fractional discrete calculus

KW - Lyapunov direct method

KW - Neural networks

KW - Stabilization

UR - https://www.scopus.com/pages/publications/85143836378

M3 - Article

AN - SCOPUS:85143836378

SN - 1359-8678

VL - 29

SP - 993

EP - 1002

JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 4

ER -

A general method for stabilizing the fractional-order discrete neural networks via linear control law

Abstract

Keywords

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