Generalized Lag Synchronization of Multiple Weighted Complex Networks with Fixed and Adaptive Couplings

Qing Wang, Jin-Liang Wang, Shun‐Yan Ren · 2018

The generalized lag synchronization for multi-weighted complex dynamical network with fixed and adaptive couplings is investigated in this paper, respectively. By designing appropriate controller, a synchronization criterion is presented for complex dynamical network with multi-weights based on the selected Lyapunov functional and inequality techniques. Moreover, an adaptive scheme to update the coupling weights is also developed for ensuring the generalized lag synchronization of multi-weighted complex dynamical network. Finally, two examples are given to validate effectiveness of the proposed generalized lag synchronization criteria.

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