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Projective lag synchronization in drive-response dynamical networks

Ghada Al-Mahbashi

School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia

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Mohd Salmi Md Noorani

School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia

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, and

Sakhinah Abu Bakar

School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia

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https://doi.org/10.1142/S0129183114500685Cited by:36 (Source: Crossref)

Abstract

This paper investigates projective lag synchronization (PLS) behavior between chaotic systems in drive-response dynamical networks (DRDNs) model with nonidentical nodes. A hybrid feedback control method is designed to achieve the PLS with and without mismatched terms. Specially, the coupling matrix in this model is not assumed to be symmetric, diffusive or irreducible. The stability of the error dynamics is proven theoretically using the Lyapunov stability theory. Finally, analytical results show that the states of the dynamical network with non-delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Moreover, the numerical simulations results demonstrate the validity of the proposed method.

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