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 in:Systems & control letters Vol. 161; p. 105162
Main Authors: Liu, Pin, Xiao, Feng, Wei, Bo, Yu, Mei
Format: Journal Article
Language:English
Published: Elsevier B.V 01.03.2022
Subjects:
Discrete-time communications
Distributed algorithm
Nash equilibrium
Partial information
Partial information
Nash equilibrium
Discrete-time communications
Distributed algorithm
ISSN:0167-6911, 1872-7956
Online Access:Get full text
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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