Finite-time exponential synchronization of reaction-diffusion delayed complex-dynamical networks

M. Syed Ali; L. Palanisamy; Nallappan Gunasekaran; Ahmed Alsaedi; Bashir Ahmad

doi:10.3934/dcdss.2020395

Article Contents

2021, Volume 14, Issue 4: 1465-1477. Doi: 10.3934/dcdss.2020395

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Finite-time exponential synchronization of reaction-diffusion delayed complex-dynamical networks

1.
Department of Mathematics, Thiruvalluvar University, Vellore-632115, Tamil Nadu, India
2.
Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama 337-8570, Japan
3.
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia

^* Corresponding author: M. Syed Ali
^* Corresponding author: M. Syed Ali

Received: October 2019

Revised: March 2020

Early access: June 2020

Published: April 2021

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant no. (RG-39-130-38). The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Abstract

This investigation looks at the issue of finite time exponential synchronization of complex dynamical systems with reaaction diffusion term. This reort studies complex networks consisting of $ N $ straightly and diffusively coupled networks. By building a new Lyapunov krasovskii functional (LKF), using Jensens inequality and convex algorithms approach stability conditions frameworks are determined. At last, a numerical precedent is given to demonstrate the practicality of the theoretical results.

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Mathematics Subject Classification: 34K20, 34K50, 92B20, 94D05.

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Figure 1. Error trajectories of the system in Example 1 with node 6

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