Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law

被引：12

作者：

Ouannas, Adel ^{[1
]}

Batiha, Iqbal M. ^{[2
,3
]}

Bekiros, Stelios ^{[4
,5
]}

Liu, Jinping ^{[6
]}

Jahanshahi, Hadi ^{[7
]}

Aly, Ayman A. ^{[8
]}

Alghtani, Abdulaziz H. ^{[8
]}

机构：

[1] Univ Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi 04000, Algeria

[2] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 2600, Jordan

[3] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 346, U Arab Emirates

[4] Univ Malta, Dept Banking & Finance, FEMA, MSD-2080 Msida, Malta

[5] London Sch Econ & Polit Sci, Dept Hlth Policy, LSE Hlth, London WC2A 2AE, England

[6] Hunan Normal Univ, Hunan Prov Key Lab Intelligent Comp & Language In, Changsha 410081, Peoples R China

[7] Univ Manitoba, Dept Mech Engn, Winnipeg, MB R3T 5V6, Canada

[8] Taif Univ, Coll Engn, Dept Mech Engn, POB 11099, At Taif 21944, Saudi Arabia

来源：

ENTROPY | 2021年 / 23卷 / 11期

关键词：

synchronization; linear control; asymptotic stability; reaction-diffusion model; lyapunov function; Selkov system; glycolysis system; ORDER CHAOTIC SYSTEMS; OSCILLATIONS;

D O I：

10.3390/e23111516

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Selkov system, which is typically employed to model glycolysis phenomena, unveils some rich dynamics and some other complex formations in biochemical reactions. In the present work, the synchronization problem of the glycolysis reaction-diffusion model is handled and examined. In addition, a novel convenient control law is designed in a linear form and, on the other hand, the stability of the associated error system is demonstrated through utilizing a suitable Lyapunov function. To illustrate the applicability of the proposed schemes, several numerical simulations are performed in one- and two-spatial dimensions.

引用

页数：11

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