Delay-Dependent Synchronization for Complex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We investigate the local exponential synchronization for complex dynamical networks with interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously.
The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function.
By using common unitary matrix for different subnetworks, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems.
Then, when subnetworks are synchronizable and nonsynchronizable, a delay-dependent sufficient condition is derived and formulated in the form of linear matrix inequalities (LMIs) by average dwell time approach and piecewise Lyapunov-Krasovskii functionals which are constructed based on the descriptor model of the system and the method of decomposition.
The new stability condition is less conservative and is more general than some existing results.
A numerical example is also given to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Botmart, T.& Niamsup, Piyapong. 2013. Delay-Dependent Synchronization for Complex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-466356
Modern Language Association (MLA)
Botmart, T.& Niamsup, Piyapong. Delay-Dependent Synchronization for Complex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays. Journal of Applied Mathematics No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-466356
American Medical Association (AMA)
Botmart, T.& Niamsup, Piyapong. Delay-Dependent Synchronization for Complex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-466356
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466356