Sliding-mode pinning control of complex networks

Oscar J. Suarez; Carlos J. Vega; Santiago Elvira-Ceja; Edgar N. Sanchez; David I. Rodriguez

Kybernetika (2018)

  • Volume: 54, Issue: 5, page 1011-1032
  • ISSN: 0023-5954

Abstract

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In this paper, a novel approach for controlling complex networks is proposed; it applies sliding-mode pinning control for a complex network to achieve trajectory tracking. This control strategy does not require the network to have the same coupling strength on all edges; and for pinned nodes, the ones with the highest degree are selected. The illustrative example is composed of a network of 50 nodes; each node dynamics is a Chen chaotic attractor. Two cases are presented. For the first case the whole network tracks a reference for each one of the states; afterwards, the second case uses the backstepping technique to track a desired trajectory for only one state. Tracking performance and dynamical behavior of the controlled network are illustrated via simulations.

How to cite

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Suarez, Oscar J., et al. "Sliding-mode pinning control of complex networks." Kybernetika 54.5 (2018): 1011-1032. <http://eudml.org/doc/294626>.

@article{Suarez2018,
abstract = {In this paper, a novel approach for controlling complex networks is proposed; it applies sliding-mode pinning control for a complex network to achieve trajectory tracking. This control strategy does not require the network to have the same coupling strength on all edges; and for pinned nodes, the ones with the highest degree are selected. The illustrative example is composed of a network of 50 nodes; each node dynamics is a Chen chaotic attractor. Two cases are presented. For the first case the whole network tracks a reference for each one of the states; afterwards, the second case uses the backstepping technique to track a desired trajectory for only one state. Tracking performance and dynamical behavior of the controlled network are illustrated via simulations.},
author = {Suarez, Oscar J., Vega, Carlos J., Elvira-Ceja, Santiago, Sanchez, Edgar N., Rodriguez, David I.},
journal = {Kybernetika},
keywords = {complex network; pinning control; sliding mode; backstepping; trajectory tracking},
language = {eng},
number = {5},
pages = {1011-1032},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Sliding-mode pinning control of complex networks},
url = {http://eudml.org/doc/294626},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Suarez, Oscar J.
AU - Vega, Carlos J.
AU - Elvira-Ceja, Santiago
AU - Sanchez, Edgar N.
AU - Rodriguez, David I.
TI - Sliding-mode pinning control of complex networks
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 5
SP - 1011
EP - 1032
AB - In this paper, a novel approach for controlling complex networks is proposed; it applies sliding-mode pinning control for a complex network to achieve trajectory tracking. This control strategy does not require the network to have the same coupling strength on all edges; and for pinned nodes, the ones with the highest degree are selected. The illustrative example is composed of a network of 50 nodes; each node dynamics is a Chen chaotic attractor. Two cases are presented. For the first case the whole network tracks a reference for each one of the states; afterwards, the second case uses the backstepping technique to track a desired trajectory for only one state. Tracking performance and dynamical behavior of the controlled network are illustrated via simulations.
LA - eng
KW - complex network; pinning control; sliding mode; backstepping; trajectory tracking
UR - http://eudml.org/doc/294626
ER -

References

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