Canonical forms for Hamiltonian and symplectic matrices and pencils

Description

We study canonical forms for Hamiltonian and
symplectic matrices or pencils under equivalence
transformations which keep the class invariant.
In contrast to other canonical forms our forms
are as close as possible to a triangular structure
in the same class. We give necessary and
sufficient conditions for the existence of
Hamiltonian and symplectic triangular Jordan,
Kronecker and Schur forms. The presented results
generalize results of Lin and Ho [17] and simplify
the proofs presented there.

Links & Downloads

1. urn:nbn:de:swb:ch1-200501069
2. 1619-7186
3. https://monarch.qucosa.de/id/qucosa%3A18356
4. https://monarch.qucosa.de/api/qucosa%3A18356/attachment/ATT-0/
5. https://monarch.qucosa.de/api/qucosa%3A18356/attachment/ATT-1/
6. https://monarch.qucosa.de/api/qucosa%3A18356/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Algebraische Riccati-Gleichung

Eigenwertproblem

Hamiltonian pencil (matrix)

Jordan canonical form

Kronecker canonical form

linear quadratic control

symplectic pencil (matrix)

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18356
Date	09 September 2005
Creators	Mehrmann, Volker, Xu, Hongguo
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Source	Preprintreihe des Chemnitzer SFB 393
Rights	info:eu-repo/semantics/openAccess