DefinePK

DefinePK hosts the largest index of Pakistani journals, research articles, news headlines, and videos. It also offers chapter-level book search.

Select Collection

On fractional variable-order neural networks with time-varying external inputs

Article Information

Get PDF View Article
Login to Add in Library

Title: On fractional variable-order neural networks with time-varying external inputs

Authors: Amel Hioual, Adel Ouannas

Journal: Innovative journal of mathematics

HEC Recognition History
No recognition records found.

Year: 2022

Volume: 1

Issue: 1

Language: en

DOI: 10.55059/ijm.2022.1.1/5

Keywords: Asymptotic stabilityFractional variable-order calculusFractional variable-order neural networksGlobal Asymptotic synchronization

Categories
Neural Networks (134) Mathematics (5170) Dynamical Systems (54) Fractional Calculus (72) Stability (20)

Abstract

This research discuss the existence, uniqueness, asymptotic stability, and global asymptotic synchronization of a class of Caputo variable-order neural networks with time-varying external inputs. Theory of contraction mapping is used to establish a sufficient condition for determining the existence and uniqueness of the equilibrium point.Using the variable fractional Lyapunov approach, we investigate the asymptotic stability of the unique equilibrium. Synchronization of variable-order chaotic networks is also studied using an effective controller. Three numerical examples are provided to show the efficacy of the results obtained.

Paper summary is not available for this article yet.

Loading PDF...

Loading Statistics...