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Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay

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The synchronization problem for a class of fractional-order complex dynamical networks with and without time-varying delay is investigated in this paper. By utilizing generalized Barbalat’s lemma, Razumikhin-type stability theory and… Click to show full abstract

The synchronization problem for a class of fractional-order complex dynamical networks with and without time-varying delay is investigated in this paper. By utilizing generalized Barbalat’s lemma, Razumikhin-type stability theory and matrix inequality technique, some sufficient criteria ensuring synchronization under pinning control and pinning adaptive feedback control are derived. Finally, three numerical simulations are presented to demonstrate the effectiveness of the obtained results.

Keywords: dynamical networks; fractional order; order complex; complex dynamical; synchronization; networks without

Journal Title: Advances in Difference Equations
Year Published: 2018

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