Linear programming-based stabilization and synchronization of positive complex networks with dynamic link subsystems

This paper investigates the stabilization and synchronization of positive complex networks with dynamic links. A class of positive complex networks is constructed by introducing dynamic link between nodes. A controller and the corresponding coupling term with respect to links are designed to achieve...

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Vydané v:PloS one Ročník 20; číslo 5; s. e0321582
Hlavní autori: Hong, Shouting, Zhang, Junfeng, Zheng, Gang, Yang, Haoyue, Uzair Aslam, Bhatti
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: United States Public Library of Science 15.05.2025
Public Library of Science (PLoS)
Predmet:
Algorithms
Biology and Life Sciences
Complex systems
Computer and Information Sciences
Computer Simulation
Controllers
Coupling
Design
Engineering and Technology
Fuzzy sets
Inequality
Liapunov functions
Linear programming
Links
Management
Models, Theoretical
Mutation
Networks
Physical Sciences
Programming, Linear
Research and Analysis Methods
Stability
Stabilization
Subsystems
Synchronism
Synchronization
System theory
Traffic flow
China
ISSN:1932-6203, 1932-6203
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Popis
Shrnutí:This paper investigates the stabilization and synchronization of positive complex networks with dynamic links. A class of positive complex networks is constructed by introducing dynamic link between nodes. A controller and the corresponding coupling term with respect to links are designed to achieve the positivity and stability of complex networks and link systems, respectively. Then, a synchronization controller and the corresponding coupling term with respect to links and node states are proposed, respectively. The main contributions are as follows: (i) A novel coupling term is constructed to achieve stability and synchronization of positive complex networks, (ii) A stabilization and synchronization framework is constructed by designing two classes of controllers and coupling terms, and (iii) A tractable design, analysis, and computation method is introduced by virtue of linear programming and copositive Lyapunov function. Finally, a simulation example is provided to verify the effectiveness and feasibility of the proposed approaches.
Bibliografia:ObjectType-Article-1
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Competing Interests: The authors have declared that no competing interests exist.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0321582