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

De Persis, C. & Monshizadeh, N., Dec-2019, In : IEEE Transactions on Control of Network Systems. 6, 4, p. 1486-1497 12 p.

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  • 2019-DePersis-Monshizadeh-TCNS

    Final author's version, 991 KB, PDF document

  • A Feedback Control Algorithm to Steer Networks to a Cournot–Nash Equilibrium

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DOI

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
Publication statusPublished - Dec-2019

    Keywords

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

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