Criteria for global pinning-controllability of complex networks

Authors:
Maurizio Porfiri;Mario Di Bernardo
Affiliations:
Department of Mechanical and Aerospace Engineering, Polytechnic Institute of New York University, Brooklyn, NY 11201, United States;Department of Systems and Computer Engineering, University of Naples Federico II, Naples 80125, Italy and Bristol Centre for Applied Nonlinear Mathematics, University of Bristol, Bristol BS8 1TR, ...
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 2
Cited 9

Templates for the solution of algebraic eigenvalue problems: a practical guide

Templates for the solution of algebraic eigenvalue problems: a practical guide
Brief paper: On the V-stability of complex dynamical networks

Automatica (Journal of IFAC)

Global robust stability and synchronization of networks with Lorenz-type nodes

IEEE Transactions on Circuits and Systems II: Express Briefs
Brief paper: Global stabilization of complex networks with digraph topologies via a local pinning algorithm

Automatica (Journal of IFAC)
Evolution of complex networks via edge snapping

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Synchronization and control of complex networks via contraction, adaptation and evolution

IEEE Circuits and Systems Magazine - Special issue on complex networks applications in circuits and systems
Control and flocking of networked systems via pinning

IEEE Circuits and Systems Magazine - Special issue on complex networks applications in circuits and systems
Brief paper: Design of highly synchronizable and robust networks

Automatica (Journal of IFAC)
On pinning synchronization of directed and undirected complex dynamical networks

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Stability analysis of impulsive parabolic complex networks with multiple time-varying delays

Neurocomputing

Quantified Score

Hi-index	22.15

Visualization

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.