Adaptive tracking via pinning in networks of nonidentical nodes

Juan Gonzalo Barajas-Ramírez

Kybernetika (2018)

  • Volume: 54, Issue: 1, page 30-40
  • ISSN: 0023-5954

Abstract

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We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node stable at a desired solution. We propose a pinning control strategy that extends this approach to solve the tracking problem, furthermore using an adaptive controller approach we provide a methodology to impose a common reference trajectory to a network of different nodes by pinning only a few of them to the desired solution. We illustrate our results with numerical simulation of well-known benchmark systems.

How to cite

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Barajas-Ramírez, Juan Gonzalo. "Adaptive tracking via pinning in networks of nonidentical nodes." Kybernetika 54.1 (2018): 30-40. <http://eudml.org/doc/294205>.

@article{Barajas2018,
abstract = {We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node stable at a desired solution. We propose a pinning control strategy that extends this approach to solve the tracking problem, furthermore using an adaptive controller approach we provide a methodology to impose a common reference trajectory to a network of different nodes by pinning only a few of them to the desired solution. We illustrate our results with numerical simulation of well-known benchmark systems.},
author = {Barajas-Ramírez, Juan Gonzalo},
journal = {Kybernetika},
keywords = {complex networks; tracking problem; pinning control; adaptive control},
language = {eng},
number = {1},
pages = {30-40},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Adaptive tracking via pinning in networks of nonidentical nodes},
url = {http://eudml.org/doc/294205},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Barajas-Ramírez, Juan Gonzalo
TI - Adaptive tracking via pinning in networks of nonidentical nodes
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 1
SP - 30
EP - 40
AB - We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node stable at a desired solution. We propose a pinning control strategy that extends this approach to solve the tracking problem, furthermore using an adaptive controller approach we provide a methodology to impose a common reference trajectory to a network of different nodes by pinning only a few of them to the desired solution. We illustrate our results with numerical simulation of well-known benchmark systems.
LA - eng
KW - complex networks; tracking problem; pinning control; adaptive control
UR - http://eudml.org/doc/294205
ER -

References

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