A Feedback Control Algorithm to Steer Networks to a Cournot-Nash EquilibriumDe Persis, C. & Monshizadeh, N., Dec-2019, In : IEEE Transactions on Control of Network Systems. 6, 4, p. 1486-1497 12 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||12|
|Journal||IEEE Transactions on Control of Network Systems|
|Publication status||Published - Dec-2019|
- Aggregative games, distributed control, internal model, DISTRIBUTED CONTROL, FLOW-CONTROL, POWER GRIDS, DESIGN, PASSIVITY, SYSTEMS