Geodesic
Hybrid function projective synchronization in discrete dynamical networks via adaptive control
Al-mahbashi, Ghada 1 ; Noorani, M. S. Md 1 ; Abu Bakar, Sakhinah 1
1 School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 11, p. 5593-5607.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.11.01
Classification : 93C40, 34D06
Keywords: Hybrid function projective synchronization, delay coupling and non-delay coupling, discrete complex dynamical networks, adaptive control

Al-mahbashi, Ghada  1 ; Noorani, M. S. Md  1 ; Abu Bakar, Sakhinah  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. Md ; Abu Bakar, Sakhinah . Hybrid function projective synchronization in discrete dynamical networks via adaptive control. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 11, p. 5593-5607. doi : 10.22436/jnsa.010.11.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.11.01/

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