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Research Article
Zhaoyan Wu
Jiangxi Normal University
Corresponding Author
ORCiD: https://orcid.org/0000-0002-9589-1728
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This work is licensed under a CC BY 4.0 License. Read Full License
Fractional-order complex-variable dynamical network with complex coupling is considered in this paper. The topological structures and system parameters are assumed to be unknown. As we know, the topological structure and system parameters play a key role on the dynamical behavior of complex network. Thus, how to effectively identify them is a critical issue for better studying the network. Through designing proper controllers and updating laws, two corresponding network estimators are constructed. Based on the Lyapunov function method and Gronwall-Bellman integral inequality, the results are analytically derived. Finally, two numerical examples are performed to illustrate the feasibility of the theoretical results.
Keywords
Structure identification, Fractional-order, Complex-variable network, Complex coupling
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Posted 11 Mar, 2021
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Received 06 Mar, 2021
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Mathematical and Theoretical Biology
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This preprint is under consideration at Nonlinear Dynamics. A preprint is a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Learn more about In Review
Research Article
Zhaoyan Wu
Jiangxi Normal University
Corresponding Author
ORCiD: https://orcid.org/0000-0002-9589-1728
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
Peer Review Timeline
CURRENT STATUS: Under Review
Version 1
Posted 11 Mar, 2021
No community comments so far
Review #? received
Received 06 Mar, 2021
Reviewers invited
Invitations sent on 05 Mar, 2021
Editor assigned
On 08 Feb, 2021
First submitted
On 07 Feb, 2021
Subject Areas
Mathematical and Theoretical Biology
License:
This work is licensed under a CC BY 4.0 License. Read Full License
Fractional-order complex-variable dynamical network with complex coupling is considered in this paper. The topological structures and system parameters are assumed to be unknown. As we know, the topological structure and system parameters play a key role on the dynamical behavior of complex network. Thus, how to effectively identify them is a critical issue for better studying the network. Through designing proper controllers and updating laws, two corresponding network estimators are constructed. Based on the Lyapunov function method and Gronwall-Bellman integral inequality, the results are analytically derived. Finally, two numerical examples are performed to illustrate the feasibility of the theoretical results.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
This preprint is available for download as a PDF.
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