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Two-Stage Value Iteration for Multi-Leader Tracking under Interactive Nash Equilibrium in Discrete Time

  • Harbin Institute of Technology Weihai

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

For the discrete-time multi-leader system, this paper proposes a two-stage value iteration to fit complex optimal solutions in Bellman equations of multi-leader and realize the tracking target under multi-leader. The two-stage value iteration algorithm adds a sub-iteration that is proposed for obtaining the control strategy. Through this iteration strategy, the optimal control strategy is acquired and the system realizes interactive Nash equilibrium. In this research, we attempt to utilize a critic network for the purpose of fitting the value index as well as an actor network to fit the control strategy. With these two neural networks, we don't need to know the specific system, and the algorithm can be driven by data. At last, simulation results indicate the feasibility of the algorithm.

Original languageEnglish
Title of host publicationProceedings of the 44th Chinese Control Conference, CCC 2025
EditorsJian Sun, Hongpeng Yin
PublisherIEEE Computer Society
Pages1656-1661
Number of pages6
ISBN (Electronic)9789887581611
DOIs
StatePublished - 2025
Externally publishedYes
Event44th Chinese Control Conference, CCC 2025 - Chongqing, China
Duration: 28 Jul 202530 Jul 2025

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference44th Chinese Control Conference, CCC 2025
Country/TerritoryChina
CityChongqing
Period28/07/2530/07/25

Keywords

  • ADP
  • Nash Equilibrium
  • Two-stage iteration
  • Value Iteration
  • multi-leader System

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