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Hierarchical Network Identification for Large-Scale Dissipative Systems

Research Project

Project/Area Number 22760313
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Control engineering
Research InstitutionThe University of Tokyo

Principal Investigator

KOJIMA Chiaki  東京大学, 情報理工学(系)研究科, 助教 (00456162)

Project Period (FY) 2010-04-01 – 2013-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords制御理論 / 階層化ネットワークシステム / システム同定 / 消散性 / 固有直交分解 / 有限周波数特性 / 分布定数系 / 多次元システム / 制御工学 / 数理工学
Research Abstract

In this research project, we considered hierarchical network systems and first derived a sufficient condition for identification of the system and gave an identification method (called hierarchical identification method) based on subspace identification method. As an extension of the method, we also developed a model reduction method based on distributed proper orthogonal decomposition. Moreover, we extended the hierarchical network identification method to dissipative systems and also derived an identification method for identification of supply rates. We should also stress that we derived some original results on Lyapunov stability, dissipativity and finite frequency properties of interconnected and distributed parameter systems in deriving preliminary results necessary to this project. On the other hand, it remains a future work to give a validation by application of the results of this project and toolbox developments.

Report

(4 results)
  • 2013 Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (23 results)

All 2014 2012 2011 2010 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (18 results) Remarks (1 results)

  • [Journal Article] 有限周波数特性の時間領域における特徴づけ-2次微分形式に基づくアプローチ2011

    • Author(s)
      小島千昭
    • Journal Title

      システム/制御/情報

      Volume: 第55号第8巻 Pages: 320-325

    • NAID

      110008711986

    • URL

      http://ci.nii.ac.jp/naid/110008711986

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 有限周波数特性の時間領域における特徴づけ- 2次微分形式に基づくアプローチ2011

    • Author(s)
      小島千昭
    • Journal Title

      システム/制御/情報

      Volume: 55

    • NAID

      110008711986

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stabilization, Lyapunov Functions, and Dissipation2010

    • Author(s)
      Paolo Rapisarda and Chiaki Kojima
    • Journal Title

      Systems and Control Letters

      Volume: Volume 59 Issue: 12 Pages: 806-811

    • DOI

      10.1016/j.sysconle.2010.09.008

    • Related Report
      2013 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterization of Finite Frequency Properties Using Quadratic Differential Forms2010

    • Author(s)
      Chiaki Kojima, Yusuke Kaizuka and Shinji Hara
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration

      Volume: Volume 3 Pages: 466-475

    • NAID

      10031140043

    • URL

      https://www.jstage.jst.go.jp/article/jcmsi/3/6/3_6_466/_pdf

    • Related Report
      2013 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Conditions for Dissipativeness of 2-D Discrete-Time Behaviors Based on Quadratic Difference Forms2014

    • Author(s)
      小島千昭
    • Organizer
      The 21st International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      オランダ・グローニンゲン市
    • Related Report
      2012 Annual Research Report
  • [Presentation] Hierarchical Network Identifiction of Large-Scale Systems - Homogeneous Case2012

    • Author(s)
      Chiaki Kojima
    • Organizer
      2012 American Control Conference
    • Place of Presentation
      カナダ・モントリオール市
    • Related Report
      2012 Annual Research Report
  • [Presentation] 大規模システムの階層化ネットワーク同定- 不均質なサブシステムの場合2012

    • Author(s)
      小島千昭
    • Organizer
      第12回 計測自動制御学会 制御部門大会
    • Place of Presentation
      奈良県文化会館(奈良県奈良市)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Identification of a Quadratic Performance Index in Multi-Agent Network2012

    • Author(s)
      小島千昭
    • Organizer
      SICE Annual Conference 2012
    • Place of Presentation
      秋田大学(秋田県秋田市)
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hierarchical Network Identification of Large-Scale Systems- Homogeneous Case2011

    • Author(s)
      小島千昭
    • Organizer
      計測自動制御学会 第40回制御理論シンポジウム
    • Place of Presentation
      ホテルコスモスクエア国際交流センター(大阪府大阪市)
    • Related Report
      2011 Annual Research Report
  • [Presentation] An Achievability Condition for n-Dimensional Behaviors with a Finite Frequency Specification : Dissipation Inequalities Approach2010

    • Author(s)
      Chiaki Kojima
    • Organizer
      The 49th IEEE Conference on Decision and Control
    • Place of Presentation
      アトランタ,アメリカ合衆国
    • Year and Date
      2010-12-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Controller Synthesis for Multiple Finite Frequency Specifications : Dissipation Inequalities Approach2010

    • Author(s)
      Chiaki Kojima
    • Organizer
      SICE Annual Conference 2010
    • Place of Presentation
      台北,台湾
    • Year and Date
      2010-08-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Polynomial-Algebraic Approach to Lyapunov Stability Analysis of Higher-Order 2-D Systems2010

    • Author(s)
      Paolo Rapisarda
    • Organizer
      The 19th International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      ブダペスト,ハンガリー
    • Year and Date
      2010-07-05
    • Related Report
      2010 Annual Research Report
  • [Presentation] Conditions for Dissipativeness of 2-D Discrete-Time Behaviors Based on Quadratic Difference Forms

    • Author(s)
      Chiaki Kojima and Osamu Kaneko
    • Organizer
      The 21st International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      グローニンゲン, オランダ
    • Related Report
      2013 Final Research Report
  • [Presentation] 大規模システムの階層化ネットワーク同定-消散方程式に基づくアプローチ

    • Author(s)
      小島千昭
    • Organizer
      計測自動制御学会第13回制御部門大会
    • Place of Presentation
      福岡県福岡市
    • Related Report
      2013 Final Research Report
  • [Presentation] Model Reduction of Large-Scale Networked Dynamical System - An Approach Based on Proper Orthogonal Decomposition and l_1-Norm Minimization

    • Author(s)
      Chiaki Kojima, Issei Kawasaki, Satoshi Moriyama and Jun Wada
    • Organizer
      計測自動制御学会第41回制御理論シンポジウム
    • Place of Presentation
      神奈川県葉山町
    • Related Report
      2013 Final Research Report
  • [Presentation] Identification of a Quadratic Performance Index in Multi-Agent Network

    • Author(s)
      Kazuaki Shibata, Chiaki Kojima and Koji Tsumura
    • Organizer
      SICE Annual Conference 2012
    • Place of Presentation
      秋田県秋田市
    • Related Report
      2013 Final Research Report
  • [Presentation] Hierarchical Network Identification of Large-Scale Systems - Homogeneous Case

    • Author(s)
      Chiaki Kojima
    • Organizer
      2012 American Control Conference
    • Place of Presentation
      モントリオール, カナダ
    • Related Report
      2013 Final Research Report
  • [Presentation] 大規模システムの階層化ネットワーク同定-不均質なサブシステムの場合

    • Author(s)
      小島千昭
    • Organizer
      第12回計測自動制御学会制御部門大会
    • Place of Presentation
      奈良県奈良市
    • Related Report
      2013 Final Research Report
  • [Presentation] Hierarchical Network Identification of Large-Scale Systems- Homogeneous Case

    • Author(s)
      Chiaki Kojima, Ryuta Hashimoto and Shisei Nakano
    • Organizer
      計測自動制御学会第40回制御理論シンポジウム
    • Place of Presentation
      大阪府大阪市
    • Related Report
      2013 Final Research Report
  • [Presentation] An Achievability Condition for n-Dimensional Behaviors with a Finite Frequency Specification : Dissipation Inequalities Approach

    • Author(s)
      Chiaki Kojima and Shinji Hara
    • Organizer
      The 49th IEEE Conference on Decision and Control
    • Place of Presentation
      アトランタ, アメリカ合衆国
    • Related Report
      2013 Final Research Report
  • [Presentation] Controller Synthesis for Multiple Finite Frequency Specifications : Dissipation Inequalities Approach

    • Author(s)
      Chiaki Kojima and Shinji Hara
    • Organizer
      SICE Annual Conference 2010
    • Place of Presentation
      台北, 台湾
    • Related Report
      2013 Final Research Report
  • [Presentation] A Polynomial-Algebraic Approach to Lyapunov Stability Analysis of Higher-Order 2-D Systems

    • Author(s)
      Paolo Rapisarda, Kiyotsugu Takaba and Chiaki Kojima
    • Organizer
      The 19th International Symposium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      ブダペスト, ハンガリー
    • Related Report
      2013 Final Research Report
  • [Remarks]

    • URL

      http://www.cyb.ipc.i.u-tokyo.ac.jp/members/chiaki/index.html

    • Related Report
      2013 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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