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Creation of Theoretical Foundation in Dynamic Mechanism Design

Research Project

Project/Area Number 26330027
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical informatics
Research InstitutionHiroshima University

Principal Investigator

Mukaidani Hiroaki  広島大学, 工学研究科, 教授 (70305788)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsインセンティブ / ナッシュ均衡戦略 / パレート最適 / シュタッケルベルグ戦略 / マルコフジャンプ確率システム / 誘因戦略 / 有限長通信連絡線モデル / インセンティブシュタッケルベルグ戦略 / 大規模半正定値計画問題 / 外乱抑制 / シュタッケルベルグゲーム / 確率システム / 確定外乱 / 制度設計 / 動的ゲーム / 確率微分方程式 / マルコフ連鎖
Outline of Final Research Achievements

In this research, a theoretical foundation which is part of designing a new dynamic mechanism that realizes supply and demand equilibrium in real time is investigated. Specifically, first, a mathematical model expressing power generation characteristics due to abrupt change in power generation time and weather inherent in renewable energy is represented by Markov jump stochastic system. Second, based on the incentive Stackelberg hierarchical strategy, a robust online incentive strategy that induces followers to leaders' team optimal solutions is established. In particular, a strategy design algorithm that achieves dynamic equilibrium incorporating time series is derived. Finally, a novel strategy is proposed such that the supply and demand equilibrium ensuring stable operation of the system in real time are both attained.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report

Research Products

(22 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (3 results) Journal Article (9 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 9 results,  Acknowledgement Compliant: 3 results) Presentation (10 results) (of which Int'l Joint Research: 9 results)

  • [Int'l Joint Research] Romanian Academy(ルーマニア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] The Romanian Academy(ルーマニア)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] ルーマニアアカデミー数学研究所(ルーマニア)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Differential Games for Weakly Coupled Large-Scale Linear Stochastic Systems with an H∞-Constraint2018

    • Author(s)
      Hiroaki Mukaidani and Hua Xu
    • Journal Title

      International Game Theory Review

      Volume: 20 Pages: 1-24

    • DOI

      10.1142/s0219198917500256

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems2017

    • Author(s)
      Hiroaki Mukaidani, Hua Xu, Tadashi Shima and Vasile Dragan
    • Journal Title

      IEEE Control Systems Letters

      Volume: 1 Pages: 250-255

    • DOI

      10.1109/lcsys.2017.2713879

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Infinite Horizon Linear-Quadratic Stackelberg Games for Discrete-time Stochastic Systems2017

    • Author(s)
      Hiroaki Mukaidani and Hua Xu
    • Journal Title

      Automatica

      Volume: 76 Pages: 301-308

    • DOI

      10.1016/j.automatica.2016.10.016

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems2016

    • Author(s)
      Hiroaki Mukaidani
    • Journal Title

      IEICE Trans. Fundamentals

      Volume: Vol.E99-A Issue: 9 Pages: 1721-1725

    • DOI

      10.1587/transfun.e99.a.1721

      10.1587/transfun.E99.A.1721

    • NAID

      130005261432

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical Solution of Finite Time Nash Game for Stochastic Systems2015

    • Author(s)
      1.向谷 博明, 三宅 利寛
    • Journal Title

      IEEJ Trans. EIS

      Volume: C135-C Issue: 7 Pages: 865-871

    • DOI

      10.1541/ieejeiss.135.865

    • NAID

      130005086267

    • ISSN
      0385-4221, 1348-8155
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Decentralized H2 Control for Multi-Channel Stochastic Systems2015

    • Author(s)
      Hiroaki Mukaidani, Hua Xu, and Vasile Dragan
    • Journal Title

      IEEE Transactions on Automatic Control

      Volume: 60 Pages: 1080-1086

    • DOI

      10.1109/tac.2014.2336354

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Stackelberg Strategies for Stochastic Systems with Multiple Followers2015

    • Author(s)
      Hiroaki Mukaidani and Hua Xu
    • Journal Title

      Automatica

      Volume: 53 Pages: 53-59

    • DOI

      10.1016/j.automatica.2014.12.021

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dynamic Game Approach of <i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub> Control for Stochastic Discrete-Time Systems2014

    • Author(s)
      Hiroaki Mukaidani, Ryousei Tanabata and Chihiro Matsumoto
    • Journal Title

      IEICE Trans. Fundamentals

      Volume: Vol.E97-A Issue: 11 Pages: 2200-2211

    • DOI

      10.1587/transfun.e97.a.2200

      10.1587/transfun.E97.A.2200

    • NAID

      130004706372

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] 離散時間確率H2/H∞制御問題を解くための数値計算2014

    • Author(s)
      向谷 博明
    • Journal Title

      計測自動制御学会論文集

      Volume: 50 Pages: 506-508

    • NAID

      130004855717

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] H∞ Constraint Incentive Stackelberg Game for Discrete-Time Stochastic Systems2017

    • Author(s)
      H. Mukaidani
    • Organizer
      American Control Conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] H∞ Constraint Pareto Optimal Strategy for Stochastic LPV Systems with Multiple Decision Makers2017

    • Author(s)
      H. Mukaidani
    • Organizer
      American Control Conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Pareto Optimal Control for Uncertain Markov Jump Linear Stochastic Systems2017

    • Author(s)
      H. Mukaidani
    • Organizer
      International Conference on Control, Dynamic Systems, and Robotics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Group Differential Game Approach of H2/H∞ for Large-Scale Linear Stochastic Systems2016

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      American Control Conference
    • Place of Presentation
      Boston, MA, USA
    • Year and Date
      2016-06-06
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Finite-Horizon Dynamic Games for a Class of Nonlinear Stochastic Systems2015

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      IEEE 54th Annual Conference on Decision and Control
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2015-12-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Finite Horizon H infinity Control for Stochastic Systems with Multiple Decision Makers2015

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      IEEE 54th Annual Conference on Decision and Control
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2015-12-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Near Optimal Linear Quadratic Regulator for a Singularly Perturbed Linear Stochastic System with Multiplicative White Noise Perturbations and Markovian Jumping2015

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      IEEE 54th Annual Conference on Decision and Control
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2015-12-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Finite-Horizon Closed-Loop Nash Game for Stochastic Large-Scale Systems with Multiple Decision Makers2015

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      American Control Conference
    • Place of Presentation
      Chicago, IL, USA
    • Year and Date
      2015-07-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Finite-Horizon H2/H∞ Control for Discrete-Time Stochastic Systems with Multiple Decision Makers2015

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      American Control Conference
    • Place of Presentation
      Chicago, IL, USA
    • Year and Date
      2015-07-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] H2/H∞ Control Problem for Stochastic Delay Systems with Multiple Decision Makers2014

    • Author(s)
      Hiroaki Mukaidani
    • Organizer
      53rd IEEE Conference on Decision and Control
    • Place of Presentation
      Los Angeles, CA, USA
    • Year and Date
      2014-12-15 – 2014-12-17
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2022-10-20  

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