Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays
Joint Authors
Yu, Miao
Chen, Zhigang
Liang, He
Haiyun, Zhao
Junyan, Yi
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is devoted to the study of synchronization problems in uncertain dynamical networks with time-delayed nodes and coupling delays.
First, a complex dynamical network model with time-delayed nodes and coupling delays is given.
Second, for a complex dynamical network with known or unknown but bounded nonlinear couplings, an adaptive controller is designed, which can ensure that the state of a dynamical network asymptotically synchronizes at the individual node state locally or globally in an arbitrary specified network.
Then, the Lyapunov-Krasovskii stability theory is employed to estimate the network coupling parameters.
The main results provide sufficient conditions for synchronization under local or global circumstances, respectively.
Finally, two typical examples are given, using the M-G system as the nodes of the ring dynamical network and second-order nodes in the dynamical network with time-varying communication delays and switching communication topologies, which illustrate the effectiveness of the proposed controller design methods.
American Psychological Association (APA)
Yu, Miao& Liang, He& Haiyun, Zhao& Chen, Zhigang& Junyan, Yi. 2017. Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1192537
Modern Language Association (MLA)
Yu, Miao…[et al.]. Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1192537
American Medical Association (AMA)
Yu, Miao& Liang, He& Haiyun, Zhao& Chen, Zhigang& Junyan, Yi. Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1192537
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192537