Criteria for global pinning-controllability of complex networks

Maurizio Porfiri, Mario di Bernardo

Research output: Contribution to journalArticle

Abstract

In this paper, we study pinning-controllability of networks of coupled dynamical systems. In particular, we study the problem of asymptotically driving a network of coupled identical oscillators onto some desired common reference trajectory by actively controlling only a limited subset of the whole network. The reference trajectory is generated by an exogenous independent oscillator, and pinned nodes are coupled to it through a linear state feedback. We describe the time evolution of the complex dynamical system in terms of the error dynamics. Thereby, we reformulate the pinning-controllability problem as a global asymptotic stability problem. By using Lyapunov-stability theory and algebraic graph theory, we establish tractable sufficient conditions for global pinning-controllability in terms of the network topology, the oscillator dynamics, and the linear state feedback.

Original languageEnglish (US)
Pages (from-to)3100-3106
Number of pages7
JournalAutomatica
Volume44
Issue number12
DOIs
StatePublished - Dec 2008

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Complex networks
Controllability
State feedback
Dynamical systems
Trajectories
Graph theory
Asymptotic stability
Topology

Keywords

  • Global stability
  • Graphs
  • Pinning-controllability
  • Synchronization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Criteria for global pinning-controllability of complex networks. / Porfiri, Maurizio; di Bernardo, Mario.

In: Automatica, Vol. 44, No. 12, 12.2008, p. 3100-3106.

Research output: Contribution to journalArticle

Porfiri, Maurizio ; di Bernardo, Mario. / Criteria for global pinning-controllability of complex networks. In: Automatica. 2008 ; Vol. 44, No. 12. pp. 3100-3106.
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