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

2011 Fiscal Year Final Research Report

• Project/Area Number: 21560461
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Control engineering
• Research Institution: Kyoto 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

• [Journal Article] Block Checker/Diagonal Transformation Matrices, Their Properties, and the Interplay with Fast-Lifting (2011)
  • 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-Timing (2011)
  • 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 Systems (2011)
  • 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 Separators (2011)
  • 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 Systems (2010)
  • 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-ing (2010)
  • 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 Systems (2011)
  • 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 Systems (2011)
  • 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-tems (2011)
  • 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 Inequalities (2010)
  • 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-equalities (2010)
  • 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 Systems (2009)
  • Author(s): T. Hagiwara and K. Hirata
  • Organizer: Eu-ropean Control Conference 2009
  • Place of Presentation: Budapest
  • Year and Date: 2009-08-24