Node-to-node pinning control of complex networks

Maurizio Porfiri, Francesca Fiorilli

Research output: Contribution to journalArticle

Abstract

In this paper, we study pinning controllability of oscillator networks. We present necessary conditions for network pinning controllability based on the spectral properties of the oscillator network and the individual oscillator dynamics. We define a performance metric for pinning-control systems based on the location of pinned sites, the pinning-control gains, and the network topology. We show that for any network structure, uniform pinning of all the network nodes maximizes the pinning-control performance. We propose the node-to-node pinning-control strategy to optimize the control performance while avoiding to simultaneously control all the network sites. In this novel strategy, the pinning-control action rapidly switches from one node to another with the goal of taming the oscillator network dynamics to the desired trajectory. We illustrate our findings through numerical simulations on networks of Rössler oscillators.

Original languageEnglish (US)
Article number013122
JournalChaos
Volume19
Issue number1
DOIs
StatePublished - 2009

Fingerprint

Pinning Control
Complex networks
Complex Networks
Vertex of a graph
oscillators
Controllability
controllability
Gain control
Network Dynamics
Performance Metrics
Spectral Properties
Network Structure
Network Topology
Switches
Trajectories
Topology
Control Strategy
Switch
Control systems
Maximise

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Medicine(all)

Cite this

Node-to-node pinning control of complex networks. / Porfiri, Maurizio; Fiorilli, Francesca.

In: Chaos, Vol. 19, No. 1, 013122, 2009.

Research output: Contribution to journalArticle

Porfiri, Maurizio ; Fiorilli, Francesca. / Node-to-node pinning control of complex networks. In: Chaos. 2009 ; Vol. 19, No. 1.
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