![](/images/graphics-bg.png)
Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays
Joint Authors
Luo, Yiping
Shu, Li
Zhou, Bi-Feng
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper focuses on the global exponential synchronization problem of nonlinearly coupled complex dynamical networks with time-varying coupling delays.
Several simple and generic global exponential synchronization criteria are derived based on the Lyapunov stability theory and the Dini derivatives using the Halanay and generalized Halanay inequalities.
These criteria rely on system parameters alone and can be used conveniently in practical applications.
In addition, the system parameters do not satisfy the conditions of the proposed criteria.
That is, the system itself cannot synchronize.
However, system synchronization can be achieved by adding the appropriate feedback controllers, thereby providing a practical and effective control method for complex dynamical networks.
An estimation method of exponential convergence rate is also presented.
Finally, the effectiveness of the proposed criteria is verified through numerical simulations.
American Psychological Association (APA)
Luo, Yiping& Shu, Li& Zhou, Bi-Feng. 2017. Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays. Complexity،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1143451
Modern Language Association (MLA)
Luo, Yiping…[et al.]. Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays. Complexity No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1143451
American Medical Association (AMA)
Luo, Yiping& Shu, Li& Zhou, Bi-Feng. Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays. Complexity. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1143451
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143451