A Feedback Control Algorithm to Steer Networks to a Cournot-Nash Equilibrium

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Abstract

In this paper, we propose distributed feedback control that steers a dynamical network to a prescribed equilibrium corresponding to the so-called Cournot-Nash equilibrium. The network dynamics considered here are a class of passive nonlinear second-order systems, where production and demands act as external inputs to the systems. While productions are assumed to be controllable at each node, the demand is determined as a function of local prices according to the utility of the consumers. Using reduced information on the demand, the proposed controller guarantees the convergence of the closed-loop system to the optimal equilibrium point dictated by the Cournot-Nash competition.

Original languageEnglish
Pages (from-to)1486-1497
Number of pages12
JournalIEEE Transactions on Control of Network Systems
Volume6
Issue number4
DOIs
Publication statusPublished - Dec-2019

Keywords

  • Aggregative games
  • distributed control
  • internal model
  • DISTRIBUTED CONTROL
  • FLOW-CONTROL
  • POWER GRIDS
  • DESIGN
  • PASSIVITY
  • SYSTEMS

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