Nash equilibrium seeking for individual linear dynamics subject to limited communication resources

In this paper, non-cooperative game problems with individual linear dynamics of players are addressed. In the case of limited communication resources, event-triggering mechanisms equip players to determine event instants. A period of dwell time is enforced after each event. In the dwell time, monito...

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Bibliographic Details
Published inSystems & control letters Vol. 161; p. 105162
Main Authors Liu, Pin, Xiao, Feng, Wei, Bo, Yu, Mei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2022
Subjects
Discrete-time communications
Distributed algorithm
Nash equilibrium
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Nash equilibrium
Discrete-time communications
Distributed algorithm
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Summary:In this paper, non-cooperative game problems with individual linear dynamics of players are addressed. In the case of limited communication resources, event-triggering mechanisms equip players to determine event instants. A period of dwell time is enforced after each event. In the dwell time, monitoring event-triggering conditions is avoided for each player, which saves resources. After the dwell time, each player triggers the broadcast to its neighbors once a fully distributed event-triggering condition is satisfied. Along this line, the Zeno behavior is excluded. The proposed control algorithm with discrete-time communications converges the systems to an NE. The effectiveness of the proposed control algorithms and event-triggering mechanisms is demonstrated through simulations.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2022.105162