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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| Vydáno v: | Systems & control letters Ročník 161; s. 105162 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.03.2022
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| Témata: | |
| ISSN: | 0167-6911, 1872-7956 |
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 105162 |
| Author | Liu, Pin Xiao, Feng Yu, Mei Wei, Bo |
| Author_xml | – sequence: 1 givenname: Pin surname: Liu fullname: Liu, Pin email: pin_liu@yeah.net organization: State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, 102206, China – sequence: 2 givenname: Feng orcidid: 0000-0002-8890-4383 surname: Xiao fullname: Xiao, Feng email: fengxiao@ncepu.edu.cn organization: State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, 102206, China – sequence: 3 givenname: Bo orcidid: 0000-0002-2542-0082 surname: Wei fullname: Wei, Bo email: bowei@ncepu.edu.cn organization: School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China – sequence: 4 givenname: Mei surname: Yu fullname: Yu, Mei email: meiyu@ncepu.edu.cn organization: School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China |
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| Keywords | Partial information Nash equilibrium Discrete-time communications Distributed algorithm |
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