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2011 Fiscal Year Final Research Report

Operator-Theoretic Study on the Synthesis and Analysis of Control Systems via Fast-Lifting and Its Algebraic Extension

Research Project

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Project/Area Number 21560461
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionKyoto University

Principal Investigator

HAGIWARA Tomomichi  京都大学, 大学院・工学研究科, 教授 (70189463)

Project Period (FY) 2009 – 2011
Keywords高速リフティング / サンプル値系 / むだ時間系 / モノドロミー作用素 / 非因果的
Research Abstract

The study dealt with a basic tool called fast-lifting that plays a significant role in advanced treatment in the synthesis and analysis of control systems employing digital devices or involving transportation of material, information, energy and so on. It mathematically tackles this tool from an operator-theoretic viewpoint, and further studies extensions of simplified ideas so that they can be applied to other types of control systems.

  • Research Products

    (13 results)

All 2011 2010 2009

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Presentation (6 results)

  • [Journal Article] Block Checker/Diagonal Transformation Matrices, Their Properties, and the Interplay with Fast-Lifting2011

    • Author(s)
      T. Hagiwara
    • Journal Title

      International Journal of Systems Science

      Volume: Vol.42, No.8 Pages: 1293-1303

    • URL

      http://www.tandfonline.com/doi/abs/10.1080/00207721.2010.496057

    • Peer Reviewed
  • [Journal Article] Properties of Discrete-Time Noncausal Linear Periodically Time-Varying Scaling and Their Relation-ship with Shift-Invariance in Lifting-Timing2011

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Journal Title

      International Journal of Control

      Volume: Vol.84, No.6 Pages: 1067-1079

    • URL

      http://www.tandfonline.com/doi/abs/10.1080/00207179.2011.591432

    • Peer Reviewed
  • [Journal Article] Fast-Lifting Approach to the Computation of the Spectrum of Retarded Time-Delay Systems2011

    • Author(s)
      T. Hagiwara and K. Hirata
    • Journal Title

      European Journal of Control

      Volume: Vol.17, No.2 Pages: 162-171

    • URL

      http://ejc.revuesonline.com/article.jsp?articleId=16019

    • Peer Reviewed
  • [Journal Article] Noncausal Linear Periodically Time-Varying Scaling for Robust Stability Analysis of Discrete-Time Systems : Frequency-Dependent Scaling In-duced by Static Separators2011

    • Author(s)
      T. Hagiwara and Y. Ohara
    • Journal Title

      Automatica

      Volume: Vol.46, No.1 Pages: 167-173

    • URL

      http://dx.doi.org/10.1016/j.automatica.2009.10.019

    • Peer Reviewed
  • [Journal Article] Quasi-Finite-Rank Approximation of Com-pression Operators in Sampled-Data Systems and Time-Delay Systems2010

    • Author(s)
      T. Hagiwara, K. Morioka and K. Okada
    • Journal Title

      International Journal of Control

      Volume: Vol.83, No.11 Pages: 2385-2394

    • URL

      http://dx.doi.org/10.1080/00207179.2010.523849

    • Peer Reviewed
  • [Journal Article] Stability Analysis of Sampled-Data Systems with Static Sector Nonlinearities via Causal Linear Periodically Time-Varying Scal-ing2010

    • Author(s)
      K. Morioka and T. Hagiwara
    • Journal Title

      SICE Journal on Control, Measure-ment, and System Integration

      Volume: Vol.3, No.4 Pages: 260-265

    • URL

      http://www.jstage.jst.go.jp/article/jcmsi/3/4/3260/article/

    • Peer Reviewed
  • [Journal Article] 離散時間非因果的周期時変スケーリングに基づくロバスト安定化制御器設計2010

    • Author(s)
      細江陽平, 萩原朋道
    • Journal Title

      計測自動制御学会論文集

      Volume: Vol.46, No.4 Pages: 219-228

    • URL

      http://www.jstage.jst.go.jp/article/sicetr/46/4/46219/article/-char/ja

    • Peer Reviewed
  • [Presentation] Infinite Ma-trix Representations of Robust Stability Con-ditions for Discrete-Time Systems2011

    • Author(s)
      Y. Hosoe and T. Hagiwara
    • Organizer
      2011 50th IEEE Conference on Decision and Control and European Control Conference
    • Place of Presentation
      Orlando
    • Year and Date
      2011-12-13
  • [Presentation] A Note on Separator-Type Robust stability Theorem and Well-Posedness of Linear Time-Invariant Systems2011

    • Author(s)
      T. Hagiwara
    • Organizer
      2011 Australian Control Conference
    • Place of Presentation
      Merbourne
    • Year and Date
      2011-11-10
  • [Presentation] Fast-Lifting Approach to the Computation of the Spectral Radius of Neutral Time-Delay Sys-tems2011

    • Author(s)
      T. Hagiwara and T. Fujinami
    • Organizer
      IFAC Workshop on Time Delay Sys-tems
    • Place of Presentation
      Prague
    • Year and Date
      2011-06-08
  • [Presentation] Monodromy Op-erator Approach to Time-Delay Systems : Nu-merical Method for Solving Operator Lya-punov Inequalities2010

    • Author(s)
      T. Hagiwara and T. Inui
    • Organizer
      19th International Sym-posium on Mathematical Theory of Networks and Systems
    • Place of Presentation
      Budapest
    • Year and Date
      2010-07-07
  • [Presentation] Monodromy Operator Ap-proach to Time-Delay Systems : Fast-Lifting Based Treatment of Operator Lyapunov In-equalities2010

    • Author(s)
      T. Hagiwara
    • Organizer
      19th International Symposium on Mathematical Theory of Networks and Sys-tems
    • Place of Presentation
      Budapest
    • Year and Date
      2010-07-07
  • [Presentation] Fast-Lifting Approach to the Computation of the Spec-trum of Retarded Time-Delay Systems2009

    • Author(s)
      T. Hagiwara and K. Hirata
    • Organizer
      Eu-ropean Control Conference 2009
    • Place of Presentation
      Budapest
    • Year and Date
      2009-08-24

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Published: 2013-07-31  

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