Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control
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Authors
Xiaojun Zhang
- School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, P. R. China.
Huilan Yang
- School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, P. R. China.
Shouming Zhong
- School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, P. R. China.
Abstract
In this paper, the problem of the lag synchronization between two general complex dynamical networks
with mixed coupling by pinning control is studied. Based on the Lyaponov functional theory and mathematical
analysis method, less conservative conditions of lag synchronization are obtained by adding the
controllers to part of nodes. Moreover, the coupling configuration matrices are not required to be symmetric
or irreducible. It is shown that the lag synchronization of the drive and response systems can be realized
via the linear feedback pinning control and adaptive feedback pinning control. These results remove some
restrictions on the node dynamics and the number of the pinned nodes. Numerical examples are presented
to illustrate the effectiveness of the theoretical results.
Share and Cite
ISRP Style
Xiaojun Zhang, Huilan Yang, Shouming Zhong, Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4678--4694
AMA Style
Zhang Xiaojun, Yang Huilan, Zhong Shouming, Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control. J. Nonlinear Sci. Appl. (2016); 9(6):4678--4694
Chicago/Turabian Style
Zhang, Xiaojun, Yang, Huilan, Zhong, Shouming. "Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4678--4694
Keywords
- Lag synchronization
- complex dynamical systems
- pinning control
- hybrid time-varying
MSC
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