http://www.tu-ilmenau.de

Logo TU Ilmenau



Foto des Ansprechpartners
Ansprechpartner

Prof. Dr. Achim Ilchmann

Head of Group

Telefon +49 3677 69-3623

E-Mail senden


Ihre Position

INHALTE

Veröffentlichungen

Anzahl der Treffer: 409
Erstellt: Sun, 15 Dec 2019 08:30:50 +0100 in 0.0214 sec


Behrndt, Jussi; Möws, Roland; Trunk, Carsten;
Eigenvalue estimates for operators with finitely many negative squares - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (14 Seiten). . - (Preprint. - M16,02)

Let A and B be selfadjoint operators in a Krein space. Assume that the re- solvent difference of A and B is of rank one and that the spectrum of A consists in some interval I of isolated eigenvalues only. In the case that A is an operator with finitely many negative squares we prove sharp estimates on the number of eigenvalues of B in the interval I. The general results are applied to singular indefinite Sturm-Liouville problems.



https://www.db-thueringen.de/receive/dbt_mods_00029046
Worthmann, Karl; Braun, Philipp; Proch, Michael; Schlüchtermann, Jörg; Pannek, Jürgen;
On contractual periods in supplier development. - In: IFAC-PapersOnLine - Frankfurt : Elsevier, ISSN 2405-8963, Bd. 49 (2016), 2, S. 60-65

http://dx.doi.org/10.1016/j.ifacol.2016.03.011
Behrndt, Jussi; Leben, Leslie; Martínez Pería, Francisco; Möws, Roland; Trunk, Carsten;
Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. - In: Journal of mathematical analysis and applications - Amsterdam [u.a.] : Elsevier, Bd. 439 (2016), 2, S. 864-895

http://dx.doi.org/10.1016/j.jmaa.2016.03.012
Gernandt, Hannes; Trunk, Carsten;
Eigenvalue placement for regular matrix pencils with rank one perturbations - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (15 Seiten). . - (Preprint. - M16,01)

A regular matrix pencil sE-A and its rank one perturbations are considered. We determine the sets in \C\cup\{\infty\} which are the eigenvalues of the perturbed pencil. We show that the largest Jordan chains at each eigenvalue of sE-A may disappear and the sum of the length of all destroyed Jordan chains is the number of eigenvalues (counted with multiplicities) which can be placed arbitrarily in \C\cup\{\infty\}. We prove sharp upper and lower bounds of the change of the algebraic and geometric multiplicity of an eigenvalue under rank one perturbations. Finally we apply our results to a pole placement problem for a single-input differential algebraic equation with feedback.



http://www.db-thueringen.de/servlets/DocumentServlet?id=27311
Knobloch, Jürgen; Vielitz, Martin
Non-conservative perturbations of homoclinic snaking scenarios. - In: Journal of differential equations - Orlando, Fla. : Elsevier, ISSN 1090-2732, Bd. 260 (2016), 1, S. 517-566

http://dx.doi.org/10.1016/j.jde.2015.09.005
Berger, Thomas; Trunk, Carsten; Winkler, Henrik
Linear relations and the Kronecker canonical form. - In: Linear algebra and its applications : LAA. - New York, NY : American Elsevier Publ., Bd. 488 (2016), S. 13-44

http://dx.doi.org/10.1016/j.laa.2015.09.033
Philipp, Friedrich; Trunk, Carsten;
Spectral points of type π+ and type π- of closed operators in indefinite inner product spaces. - In: Operators and matrices : OaM. - Zagreb : Element, Bd. 9 (2015), 3, S. 481-506
Im Titel ist "+" und "-" tiefgestellt

http://dx.doi.org/10.7153/oam-09-30
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl;
Predictive control of a smart grid: a distributed optimization algorithm with centralized performance properties. - In: 2015 54th IEEE Conference on Decision and Control (CDC) : date: 15-18 Dec. 2015. - [Piscataway, NJ] : IEEE, ISBN 978-1-4799-7886-1, (2015), S. 5593-5598

http://dx.doi.org/10.1109/CDC.2015.7403096
Worthmann, Karl; Mehrez, Mohamed W.; Zanon, Mario; Mann, George K. I.; Gosine, Raymond G.; Diehl, Moritz;
Regulation of differential drive robots using continuous time MPC without stabilizing constraints or costs. - In: IFAC-PapersOnLine - Frankfurt : Elsevier, ISSN 2405-8963, Bd. 48 (2015), 23, S. 129-135

http://dx.doi.org/10.1016/j.ifacol.2015.11.272
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl;
A real-time pricing scheme for residential energy systems using a market maker. - In: Proceedings of 2015 Australian Control Conference (AUCC 2015) : Gold Coast, Australia, 05-06 November 2015. - [Piscataway, NJ] : IEEE, ISBN 978-1-922107-69-5, (2015), S. 259-262

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7361944