Criteria for global pinning-controllability of complex networks

Maurizio Porfiri, Mario di Bernardo

Research output: Contribution to journalArticlepeer-review


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
Issue number12
StatePublished - Dec 2008


  • Global stability
  • Graphs
  • Pinning-controllability
  • Synchronization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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