Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings

Zhi-wei Li; Zhe-yong Qiu; Wei-gang Sun

Kybernetika (2016)

  • Volume: 52, Issue: 4, page 648-660
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Li, Zhi-wei, Qiu, Zhe-yong, and Sun, Wei-gang. "Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings." Kybernetika 52.4 (2016): 648-660. <http://eudml.org/doc/286798>.

@article{Li2016,
abstract = {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.},
author = {Li, Zhi-wei, Qiu, Zhe-yong, Sun, Wei-gang},
journal = {Kybernetika},
keywords = {lag synchronization; pinning control; derivative coupling; lag synchronization; pinning control; derivative coupling},
language = {eng},
number = {4},
pages = {648-660},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings},
url = {http://eudml.org/doc/286798},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Li, Zhi-wei
AU - Qiu, Zhe-yong
AU - Sun, Wei-gang
TI - Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 4
SP - 648
EP - 660
AB - 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.
LA - eng
KW - lag synchronization; pinning control; derivative coupling; lag synchronization; pinning control; derivative coupling
UR - http://eudml.org/doc/286798
ER -

References

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