Computation of Kronecker-like forms of a system pencil: applications, algorithms and software
Kronecker-like forms of a system pencil are useful in solving many computational problems encountered in the analysis and synthesis of linear systems. The reduction of system pencils to various Kronecker-like forms can be performed by structure preserving O(n/sup 3/) complexity numerically stable al...
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| Published in: | 1996 IEEE International Symposium on Computer-Aided Control System Design pp. 77 - 82 |
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| Main Author: | |
| Format: | Conference Proceeding |
| Language: | English |
| Published: |
IEEE
1996
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| ISBN: | 0780330323, 9780780330320 |
| Online Access: | Get full text |
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| Abstract | Kronecker-like forms of a system pencil are useful in solving many computational problems encountered in the analysis and synthesis of linear systems. The reduction of system pencils to various Kronecker-like forms can be performed by structure preserving O(n/sup 3/) complexity numerically stable algorithms. The presented algorithms form the basis of a modular collection of LAPACK compatible FORTRAN 77 subroutines to perform the reduction of a system pencil to several Kronecker-like forms. |
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| AbstractList | Kronecker-like forms of a system pencil are useful in solving many computational problems encountered in the analysis and synthesis of linear systems. The reduction of system pencils to various Kronecker-like forms can be performed by structure preserving O(n/sup 3/) complexity numerically stable algorithms. The presented algorithms form the basis of a modular collection of LAPACK compatible FORTRAN 77 subroutines to perform the reduction of a system pencil to several Kronecker-like forms. |
| Author | Varga, A. |
| Author_xml | – sequence: 1 givenname: A. surname: Varga fullname: Varga, A. organization: Inst. for Robotics & Syst. Dynamics, DLR-Oberpfaffenhofen, Wessling, Germany |
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| PublicationTitle | 1996 IEEE International Symposium on Computer-Aided Control System Design |
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| Snippet | Kronecker-like forms of a system pencil are useful in solving many computational problems encountered in the analysis and synthesis of linear systems. The... |
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| StartPage | 77 |
| SubjectTerms | Algorithm design and analysis Application software Eigenvalues and eigenfunctions Linear systems Poles and zeros Riccati equations Robots Software algorithms State-space methods Vectors |
| Title | Computation of Kronecker-like forms of a system pencil: applications, algorithms and software |
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