Linear perturbation theory for structured matrix pencils arising in control theory
| dc.contributor.author | Bora, Shreemayee | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.date.accessioned | 2021-12-17T10:06:08Z | |
| dc.date.available | 2021-12-17T10:06:08Z | |
| dc.date.issued | 2004-06-06 | |
| dc.description.abstract | We investigate the effect of linear perturbations on several structured matrix pencils arising in control theory. These include skew-symmetric/symmetric pencils arising in the computation of optimal $H_\infty$ control and linear quadratic control for continuous and discrete time systems. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15539 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14312 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | ∞ control | en |
| dc.subject.other | linear-quadratic control | en |
| dc.subject.other | Hamiltonian matrix | en |
| dc.subject.other | continuous-time control | en |
| dc.subject.other | discrete-time control | en |
| dc.subject.other | skew-Hamiltonian/Hamiltonian pencil | en |
| dc.subject.other | Hermitian/Hermitian pencil | en |
| dc.title | Linear perturbation theory for structured matrix pencils arising in control theory | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2004, 16 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 93B36 H∞-control | en |
| tub.subject.msc2000 | 65F15 Eigenvalues, eigenvectors | en |