Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control. (English) Zbl 1400.93149
Summary: This paper investigates the projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control. The pinning control method is employed in designing controllers for guaranteeing projective cluster synchronization. Based on the Lyapunov stability theory and well-known Barbalat’s lemma, some new sufficient conditions are derived to guarantee the projective cluster synchronization of the fractional-order complex network. A numerical simulation is given to verify the effectiveness of the theoretical results.
Keywords:
fractional-order; complex networks; projective cluster synchronization; coupled-delay; Riemann-Liouville; pinning controlReferences:
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