Hybrid function projective synchronization in discrete dynamical networks via adaptive control


Authors

Ghada Al-mahbashi - School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. M. S. Md Noorani - School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. Sakhinah Abu Bakar - School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia.


Abstract

In this paper, we study the hybrid function projective synchronization between coupled complex discrete networks with different dimensions. The hybrid function projective synchronization is achieved by designing an adaptive control method. Based on the designed controller and the Lyapunov stability theory, we derive sufficient conditions to realize the hybrid function projective synchronization with different nodes. Moreover, with the adaptive update law, an adaptive control gains are obtained. Furthermore, we examine different cases of outer coupling matrix of node dynamics. Finally, we provide numerical examples to show the effectiveness of the proposed control scheme.


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ISRP Style

Ghada Al-mahbashi, M. S. Md Noorani, Sakhinah Abu Bakar, Hybrid function projective synchronization in discrete dynamical networks via adaptive control, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5593--5607

AMA Style

Al-mahbashi Ghada, Noorani M. S. Md, Abu Bakar Sakhinah, Hybrid function projective synchronization in discrete dynamical networks via adaptive control. J. Nonlinear Sci. Appl. (2017); 10(11):5593--5607

Chicago/Turabian Style

Al-mahbashi, Ghada, Noorani, M. S. Md, Abu Bakar, Sakhinah. "Hybrid function projective synchronization in discrete dynamical networks via adaptive control." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5593--5607


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