Outer Synchronization of a Modified Quorum-Sensing Network via Adaptive Control-Reference-Cited by-同舟云学术

Outer Synchronization of a Modified Quorum-Sensing Network via Adaptive Control

Published:2018-08-09 Issue: Volume:2018 Page:1-8
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Zhang Jianbao¹²³^ORCID,Zhang Wenyin¹²,Zhang Denghua⁴,Yang Chengdong¹²³^ORCID,Zhu Kongwei¹²,Qiu Jianlong²⁵

Affiliation:

1. School of Information Science and Engineering, Linyi University, Linyi 276005, China

2. Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong (Linyi University), Linyi 276005, China

3. Department of Mathematics, Southeast University, Nanjing 210096, China

4. College of Science and Technology, North China Electric Power University, Baoding 071000, China

5. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

Motivated by the quorum-sensing mechanism of bacteria, this paper modifies the network model by adding unknown parameters and noise disturbances and investigates the problem of outer synchronization via adaptive control. In case there exist three unknown parameters, updating laws are presented to identify the unknown parameters with help of Lyapunov stability theory, and the negative effects of noise disturbances are also compensated by designing adaptive controllers. In addition, we simplify the obtained conditions and carry out two succinct and utilitarian corollaries. Finally, numerical simulations are provided to show the validity of the obtained results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2018/2801896.pdf

Reference33 articles.

1. A Mathematical Model for Quorum Sensing in Pseudomonas aeruginosa

2. Chemical communication among bacteria

3. Modeling a synthetic multicellular clock: Repressilators coupled by quorum sensing

4. Synchronizing Genetic Oscillators by Signaling Molecules

5. Quorum-Sensing Synchronization of Synthetic Toggle Switches: A Design Based on Monotone Dynamical Systems Theory

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