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Development of Parallel Computer Algebra System and its Application to nD system Theory

Research Project

Project/Area Number 05650391
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionToyohashi University of Technology

Principal Investigator

SAITO Osami  Toyohashi University of Technology, Dept. of Know ledge-Bared Information Eng. Professor, 工学部, 教授 (50005526)

Co-Investigator(Kenkyū-buntansha) YUASA Taiichi  Dept. of Information Evg. Professor, 工学部, 教授 (60158326)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1994: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1993: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsmassively parallel / Computer Algebra / Parallel programming / virtual PE / nD system / stabilizability / Optimal Control / Iteratioe learning Control / 数式処理系 / PE間通信 / 並列プログラム作成 / 並列処理 / 並列記号処理 / n-Dシステム / 学習制御 / 並列アルゴリズム
Research Abstract

The following two research results are obtained through this project.
1, Development of massively parallel computer algebra
The prototype system of massively parallel computer algebra has been developed by using SIMD parallel computer , -SM-1-, and parallel LISP,-TUPLE-, . At present, many parallel functions such as computations of determinant, inverse matrix and Smith form for the matrices which consist of multivariable polynomial, and Grobner bases have been concretely realized. These parallel functions execute about a hundred times as fast as sequential ones.
2, n-D system theory
In the first year, we have engaged mainly in studying the practical-stability. The theories about internal stability and design methods for stabilizablu output feedback compensator, have been clarified. In the second year, we study the optimal control theory for n-D systems specially optimal tracking problem. Consequently some optimal problems for n-d systems are proved to be reduced to 1D optimal problems.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (13 results)

All Other

All Publications (13 results)

  • [Publications] LiXU,Osami SAITO,Kenichi ABE: "Output Feedback Stabilizability and stabilization Algorithms for 2D system" Multi dimonsional System and Signal Precessing. 5. 41-60 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] LiXU,Osami SAITO Kenichi ABE: "The Design of Practically-Stable nD Feedback System" Automatica. 30-9. 1389-1397 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 徐 粒,斉藤,阿部: "nDシステムのPractical内部安定と状況空間法によるPractical安定化" 計測自動制御学会論文誌. 30-12. 1466-1473 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 斉藤,山内,高橋: "数式処理系の汎用ユーザーインターフェイス" 日本応用数理学会論文誌. 4-4. 75-83 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] L XU,O SAITO and K ABE: "Output feedback Stabilizability and Stabilization Algorithms for 2D systems" Multidimensional Systems and Signal Processing. Vol. 5. 41-60 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] L XU,O SAITO and K ABE: "The Design of Practically-Stable nD Feedback System" Automatica. Vol. 30, No. 9. 1389-1397 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] L XU,O SAITO and K ABE: "Practical Internal Stability and Practical-Stabilization by State-Space Approach for nD Systems" Trans. of SICE. Vol. 30, No. 12. 1466-1473 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] O SAITO,T.YAMAUCHI and T.TAKAHASHI: "Widespread User Interface for Computer Algebra System" Trans. of Applied Math.Vol. 4 No. 4. 75-83 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] LiXU Osami SIATO and Kenrch ABE: "The Design of Practically-Stafle nD Feed back System" Automatica. 30-9. 1389-1397 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 徐,斉藤,阿部: "nDシステムのPractical内部安定性と状態空間法によるPractical安定化" 計測自動制御学会論文誌. 30-12. 1466-1473 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 斉藤,山内,高橋: "数式処理系の汎用ユーザインターフェイス" 日本応用数理学会論文誌. 4-4. 75-83 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] LiXU,Osami SAITO,K,Abe: "Output Feedback Stalilizability and Stalilization Algorithm For 2 D System" Multidimensional Systems and Signal Processing. 5. 41-60 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 太野,高橋,斉藤,湯浅: "SIMD型超並列計算機による並列数式処理系" 情報処理学会,記号処理研究会. 17-24 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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