Criteria for global pinning-controllability of complex networks

M. Porfiri, M Di Bernardo

Research output: Contribution to journalArticle (Academic Journal)peer-review

238 Citations (Scopus)


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.
Translated title of the contributionCriteria for global pinning-controllability of complex networks
Original languageEnglish
Pages (from-to)3100 - 3106
Number of pages7
Issue number12
Publication statusPublished - Dec 2008

Structured keywords

  • Engineering Mathematics Research Group


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