Temat: generalized Nash equilibrium - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Distributed event-triggered generalized Nash equilibrium seeking for aggregative games on unbalanced digraphs
Autorzy:: Cai, Xin
Nan, Xinyuan
Gao, Bingpeng
Powiązania:: https://bibliotekanauki.pl/articles/2175114.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: aggregative games
coupled constraints
generalized Nash equilibrium
multi-agent systems
Opis:: This paper addresses the problem of seeking generalized Nash equilibrium for constrained aggregative games with double-integrator agents who communicate with each other on an unbalanced directed graph. An auxiliary variable is introduced to balance the consensus terms in the designed algorithm by estimating the left eigenvector of the Laplacian matrix associated with the zero eigenvalue in a distributed manner. Moreover, an event-triggered broadcasting scheme is proposed to reduce communication loads in the network. It is shown that the proposed communication scheme is free of the Zeno behavior and the asymptotic convergence of the designed algorithm is obtained. Simulation results are demonstrated to validate the proposed methods.
Źródło:: Archives of Control Sciences; 2022, 32, 4; 783--800
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A Nash equilibrium approach for multiobjective optimal control problems with elliptic partial diﬀerential equations
Autorzy:: Dreves, A.
Powiązania:: https://bibliotekanauki.pl/articles/206122.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: multiobjective optimization
generalized Nash equilibrium
optimal control problem
elliptic partial diﬀerential equation
finite elements
interior point method
Opis:: We consider the generalized Nash equilibrium as a solution concept for multiobjective optimal control problems governed by elliptic partial diﬀerential equations with constraints not only for the control but also for the state variables. In the ﬁrst part, we present a constructive proof of the existence of a generalized Nash equilibrium via an approximating sequence of suitable ﬁnite dimensional discretizations. In the second part, we propose a variant of a potential reduction algorithm for the numerical solution of these discretized problems. In contrast to the existing numerical approaches ours does not require the computation of the control–to–state mapping. Instead we introduce diﬀerent state variables and guarantee that they become equal at a solution. We prove suﬃcient conditions for the convergence of our algorithm to a solution. Furthermore, some numerical results showing the applicability are provided.
Źródło:: Control and Cybernetics; 2016, 45, 4; 457-482
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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