Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System

Author:

Ouannas Adel1,Abdelli Mouna1,Odibat Zaid23,Wang Xiong4ORCID,Pham Viet-Thanh56ORCID,Grassi Giuseppe7,Alsaedi Ahmed3

Affiliation:

1. Department of Mathematics, University of Larbi Tebessi, Tebessa 12002, Algeria

2. Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan

3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

4. Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, China

5. Faculty of Electrical and Electronic Engineering, Phenikaa Institute for Advanced Study (PIAS), Phenikaa University, Yen Nghia, Ha Dong district, Hanoi 100000, Vietnam

6. Phenikaa Research and Technology Institute (PRATI), A&A Green Phoenix Group, 167 Hoang Ngan, Hanoi 100000, Vietnam

7. Universita del Salento, Dipartimento Ingegneria Innovazione, 73100 Lecce, Italy

Abstract

Synchronization and control in high dimensional spatial-temporal systems have received increasing interest in recent years. In this paper, the problem of complete synchronization for reaction-diffusion systems is investigated. Linear and nonlinear synchronization control schemes have been proposed to exhibit synchronization between coupled reaction-diffusion systems. Synchronization behaviors of coupled Lengyel-Epstein systems are obtained to demonstrate the effectiveness and feasibility of the proposed control techniques.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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