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

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

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 syn...

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Veröffentlicht in:	Advances in difference equations 2018-01, Vol.2018 (1), p.1-23, Article 6
Hauptverfasser:	Li, Biwen, Wang, Nengjie, Ruan, Xiaoli, Pan, Qiujin
Format:	Artikel
Sprache:	eng
Schlagworte:	adaptive control Analysis complex dynamical networks Difference and Functional Equations fractional-order systems Functional Analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations pinning control synchronization
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Beschreibung
Zusammenfassung:	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.
ISSN:	1687-1847 1687-1847
DOI:	10.1186/s13662-017-1454-1