Adaptive synchronization of weighted complex dynamical networks through pinning |
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Authors: | L Wang H P Dai H Dong Y Y Cao Y X Sun |
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Institution: | (1) State Key Laboratory of Industrial Control Technology, Institute of Industrial Control, Zhejiang University, Hangzhou, 310027, P.R. China;(2) College of Information Engineering, Zhejiang University of Technology, Hangzhou, 310032, P.R. China |
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Abstract: | This paper considers the problem of controlling
weighted complex dynamical networks by applying adaptive control
to a fraction of network nodes. We investigate the local and
global synchronization of the controlled dynamical network through
the construction of a master stability function and a Lyapunov
function. Analytical results show that a certain number of nodes
can be controlled by using adaptive pinning to ensure the
synchronization of the entire network. We present numerical
simulations to verify the effectiveness of the proposed scheme. In
comparison with feedback pinning, the proposed pinning control
scheme is robust when tested by noise, different weighting and
coupling structures, and time delays. |
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Keywords: | 05 45 -a Nonlinear dynamics and chaos 05 45 Xt Synchronization coupled oscillators 89 75 -k Complex systems |
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