An integral Nash equilibrium control scheme for a class of multi-agent linear systems

S Krilašević, S Grammatico - IFAC-PapersOnLine, 2020 - Elsevier
We propose an integral Nash equilibrium seeking control (I-NESC) law which steers the
multi-agent system composed of a special class of linear agents to the neighborhood of the
Nash equilibrium in noncooperative strongly monotone games. First, we prove that there
exist parameters of the integral controller such that the system converges to the Nash
equilibrium in the full-information case, in other words, without the parameter estimation
scheme used in extremum seeking algorithms. Then we prove that there exist parameters of …

[PDF][PDF] An integral Nash equilibrium control scheme for a class of multi-agent linear systems

S Krilaševic, S Grammatico - IFAC PapersOnLine, 2020 - repository.tudelft.nl
We propose an integral Nash equilibrium seeking control (I-NESC) law which steers the
multi-agent system composed of a special class of linear agents to the neighborhood of the
Nash equilibrium in noncooperative strongly monotone games. First, we prove that there
exist parameters of the integral controller such that the system converges to the Nash
equilibrium in the full-information case, in other words, without the parameter estimation
scheme used in extremum seeking algorithms. Then we prove that there exist parameters of …
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