Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks

Hong-Li Li, Cheng Hu, Yao-Lin Jiang, Zuolei Wang and Zhidong Teng

Chaos, Solitons & Fractals, 2016, vol. 92, issue C, 142-149

Abstract: This paper is concerned with the pinning adaptive and impulsive synchronization problem of fractional-order complex dynamical networks. First, a generalized Barbalat’s Lemma is derived. Based on the generalized Barbalat’s Lemma and some analysis techniques, we obtain some criteria, which guarantee that the whole state-coupled dynamical network can be forced to certain desired synchronous state by combining pinning adaptive control and pinning impulsive control. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control strategy.

Keywords: Pinning adaptive and impulsive control; Synchronization; Fractional-order; Complex networks; Barbalat’s Lemma (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:92:y:2016:i:c:p:142-149

DOI: 10.1016/j.chaos.2016.09.023

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