DocumentCode :
3125189
Title :
New Hamiltonian Eigensolvers with Applications in Control
Author :
Benner, Peter ; Kressner, Daniel
Author_Institution :
Fakultät für Mathematik, TU Chemnitz, 09107 Chemnitz, Germany. benner@mathematik.tu-chemnitz.de
fYear :
2005
fDate :
12-15 Dec. 2005
Firstpage :
6551
Lastpage :
6556
Abstract :
A new MATLAB toolbox for computing eigenvalues and invariant subspaces of Hamiltonian and skew-Hamiltonian matrices is described. Based on orthogonal symplectic decompositions, the implemented algorithms are both numerically backward stable and structure-preserving. It will be demonstrated how this toolbox can be used to address a number of tasks in systems and control theory, including some model reduction methods and the computation of the Hnorm.
Keywords :
Control theory; Eigenvalues and eigenfunctions; MATLAB; Matrix decomposition; Optimal control; Reduced order systems; Software algorithms; Software libraries; Stability; Symmetric matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1583213
Filename :
1583213
Link To Document :
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