Title :
Computation of Kronecker-like forms of a system pencil: applications, algorithms and software
Author_Institution :
Inst. for Robotics & Syst. Dynamics, DLR-Oberpfaffenhofen, Wessling, Germany
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(n3 ) 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
Keywords :
computational complexity; control system analysis; control system synthesis; linear systems; matrix algebra; numerical stability; system theory; Kronecker-like forms; LAPACK-compatible FORTRAN 77 subroutines; computational problems; structure-preserving numerically stable algorithms; system pencil; Algorithm design and analysis; Application software; Eigenvalues and eigenfunctions; Linear systems; Poles and zeros; Riccati equations; Robots; Software algorithms; State-space methods; Vectors;
Conference_Titel :
Computer-Aided Control System Design, 1996., Proceedings of the 1996 IEEE International Symposium on
Conference_Location :
Dearborn, MI
Print_ISBN :
0-7803-3032-3
DOI :
10.1109/CACSD.1996.555201
