Pinning Controllability of Complex Network Systems with Noise

Daniel A Burbano Lombana, Giovanni Russo, Mario Di Bernardo

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Abstract

The ability of a network of nonlinear systems to synchronize onto the desired reference trajectory in the presence of one or more leader nodes is known as the pinning controllability problem. This paper studies the pinning controllability of multiagent networks subject to three different types of noise diffusion processes; namely, noise affecting the node dynamics, the communication links, and the pinning control action itself. Sufficient pinning controllability conditions are derived depending on the node dynamics, network structure, noise intensity, and control parameters. Counterintuitively, it is found that under some specific conditions noise may enhance the pinning controllability of the network making it easier to drive all agents toward the desired collective behavior. The effectiveness of the theoretical results is illustrated via two application examples arising in the context of gene regulatory networks and synchronization of chaotic systems.

Original languageEnglish
Article number8528873
Pages (from-to)874-883
Number of pages10
JournalIEEE Transactions on Control of Network Systems
Volume6
Issue number2
Early online date9 Nov 2018
DOIs
Publication statusPublished - 1 Jun 2019

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Keywords

  • Pinning Control
  • Nonlinear Systems
  • Stochastic/Uncertain Systems
  • Stability
  • Networks of Autonomous Agents

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