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
Main Author: Varga, A.
Format: Conference Proceeding
Language:English
Published: IEEE 1996
Subjects:
Algorithm design and analysis
Application software
Eigenvalues and eigenfunctions
Linear systems
Poles and zeros
Riccati equations
Robots
Software algorithms
State-space methods
Vectors
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.
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.
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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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