1994 Fiscal Year Final Research Report Summary
Development of Parallel Computer Algebra System and its Application to nD system Theory
| Project/Area Number |
05650391
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
計測・制御工学
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| Research Institution | Toyohashi University of Technology |
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Principal Investigator |
SAITO Osami Toyohashi University of Technology, Dept. of Know ledge-Bared Information Eng. Professor, 工学部, 教授 (50005526)
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| Co-Investigator(Kenkyū-buntansha) |
YUASA Taiichi Dept. of Information Evg. Professor, 工学部, 教授 (60158326)
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| Project Period (FY) |
1993 – 1994
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| Keywords | massively parallel / Computer Algebra / Parallel programming / virtual PE / nD system / stabilizability / Optimal Control / Iteratioe learning Control |
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| 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.
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