Adaptive finite-time synchronization of a class of pinned and adjustable complex networks

This paper is concerned with the finite-time asymptotic synchronization problem of a class of dynamical complex networks with adjustable couplings. Pinning controllers are developed to guarantee that synchronization errors of pinned nodes converge to zero within finite-time. The effects of couplings...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-08, Vol.85 (3), p.1393-1403
Main Authors: Jin, Xiao-Zheng, He, Yi-Gang, Wang, Dan
Format: Article
Language:English
Subjects:
Adaptive control
Asymptotic properties
Automotive Engineering
Classical Mechanics
Control
Couplings
Dynamical Systems
Engineering
Liapunov functions
Mechanical Engineering
Networks
Nodes
Original Paper
Time synchronization
Vibration
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Summary:This paper is concerned with the finite-time asymptotic synchronization problem of a class of dynamical complex networks with adjustable couplings. Pinning controllers are developed to guarantee that synchronization errors of pinned nodes converge to zero within finite-time. The effects of couplings in networks are further studied, and adaptive schemes for adjusting coupled strength are provided to ensure the finite-time synchronization of unpinned nodes. Through the Lyapunov function and adaptive schemes, some results indicating that control strategies and coupling adjustment laws can guarantee the asymptotic synchronization of pinned and unpinned nodes within finite-time respectively, are obtained. Simulation results are given to verify the effectiveness of the proposed method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-2767-4