Distributed Finite-Time and Fixed-Time Nash Equilibrium Seeking for Non-Cooperative Game with Input Saturation

Autor:	Dong Wang, Zhenzhen Gao, Long Sheng
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Nash equilibrium input saturation finite time sigmoid function non-cooperative game Lyapunov stability analysis Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 10, p 2295 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11102295
Popis:	In this paper, a modified distributed Nash equilibrium seeking problem with input saturation has been investigated. The payoff function of each player is related to the communication topology, which is closer to the actual scenes. The sigmoid function is utilized to limit the range of the input. Through the network communication between players and the gradient of the players’ payoff functions, the finite-time and fixed-time distributed Nash equilibrium seeking protocols with input saturation are given. Using the Lyapunov stability analysis, it is determined that the action of each player converges to the Nash equilibrium if all the players update their action according to the proposed algorithms. The numerical simulations are also provided to testify the algorithms.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d81aa8286db74fe9a50aabff759f3f46 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.