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Article

Li, Zhi-wei ; Qiu, Zhe-yong ; Sun, Wei-gang
Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings. (English). Kybernetika, vol. 52 (2016), issue 4, pp. 648-660
MSC: 05C82, 34D06 | MR 3565774 | Zbl 06644315 | DOI: 10.14736/kyb-2016-4-0648
Keywords:
lag synchronization; pinning control; derivative coupling
Summary:
In this paper, we study lag synchronization between two dynamical networks with non-derivative and derivative couplings via pinning control. We design two types of pinning control schemes, including linear and adaptive feedback controllers. With the corresponding control algorithms, we obtain two theorems on the lag synchronization based on Schur complement and Barbalat's lemma. In addition, we obtain the domain for the linear feedback gains. Finally, we provide two numerical examples to show the efficiency of the proposed schemes and apply random and high-degree chosen pinning schemes.
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