DocumentCode
3364633
Title
On invariant subspaces of Hamiltonian matrices
Author
Mehrmann, Volker ; Xu, Hongguo
Author_Institution
Fakultat fur Math., Tech. Univ. Chemnitz, Germany
fYear
1999
fDate
1999
Firstpage
40
Lastpage
45
Abstract
The existence and uniqueness of Lagrangian invariant subspaces of Hamiltonian matrices is studied. Necessary and sufficient conditions are given in terms of the Jordan structure and certain sign characteristics that give uniqueness of these subspaces even in the presence of purely imaginary eigenvalues. These results are applied to obtain in special cases: existence and uniqueness results for Hermitian solutions of continuous time algebraic Riccati equations
Keywords
Riccati equations; eigenvalues and eigenfunctions; matrix algebra; Hamiltonian matrices; Jordan structure; Riccati equations; existence; imaginary eigenvalues; invariant subspaces; necessary conditions; sufficient conditions; uniqueness; Automated highways; DH-HEMTs; Eigenvalues and eigenfunctions; Filtering; Image analysis; Kalman filters; Lagrangian functions; Newton method; Riccati equations; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Aided Control System Design, 1999. Proceedings of the 1999 IEEE International Symposium on
Conference_Location
Kohala Coast, HI
Print_ISBN
0-7803-5500-8
Type
conf
DOI
10.1109/CACSD.1999.808621
Filename
808621
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