Lag synchronization of uncertain complex dynamical networks with derivative coupling
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 252-261.

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In this study, uncertain complex dynamical network model with time varying coupling delay and derivative coupling delay is considered. The lag synchronization between two such uncertain networks with different nodes is investigated. An adaptive control method is designed by using Lyapunov stability theory for achieving the lag synchronization and some corollaries are also given. In addition, on the basis of the adaptive update law, unknown parameters of the networks are estimated. The analytical results show that the states of the dynamical network with derivative delay coupling can be asymptotically synchronized under the designed control. The numerical simulation results also demonstrate the validity of the designed method.
DOI : 10.22436/jnsa.012.04.06
Classification : 93C40, 34D06
Keywords: Lag synchronization, derivative coupling, complex dynamical networks, adaptive control

Al-mahbashi, Ghada  1 ; Noorani, M. S. M. 1

1 School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
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Al-mahbashi, Ghada ; Noorani, M. S. M. Lag synchronization of uncertain complex dynamical networks with derivative coupling. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 252-261. doi : 10.22436/jnsa.012.04.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.04.06/

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