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Veröffentlichungen am Institut für Mathematik seit 1990

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Geletu, Abebe; Klöppel, Michael; Li, Pu; Hoffmann, Armin;
A moving horizon approach to a chance constrained nonlinear dynamic optimization problem. - In: IFAC-PapersOnLine. - Frankfurt : Elsevier, ISSN 2405-8963, Bd. 42 (2009), 2, S. 103-107

In this paper, a chance constrained nonlinear dynamic optimization problem is considered, which will be investigated by using a moving horizon scheme. In each horizon, the chance constraints will be written (transformed) in terms of those (input) random variables with known probability distributions by using monotonicity relations. Some definitions and properties related to the required monotonicity properties are introduced. For the application problem considered these monotonicity properties hold automatically true. The chance constraints and their gradients are evaluated by computing multivariate normal integrals using direct numerical integration. Numerical experimentation results will also be reported.



https://doi.org/10.3182/20090506-3-SF-4003.00019
Behrndt, Jussi; Katatbeh, Qutaibeh; Trunk, Carsten;
Non-real eigenvalues of singular indefinite Sturm-Liouville operators. - In: Proceedings of the American Mathematical Society. - Providence, RI : Soc., ISSN 1088-6826, Bd. 137 (2009), 11, S. 3797-3806

https://doi.org/10.1090/S0002-9939-09-09964-X
Král', Daniel; Sereni, Jean-Sébastien; Stiebitz, Michael;
A new lower bound on the number of perfect matchings in cubic graphs. - In: SIAM journal on discrete mathematics. - Philadelphia, Pa. : Soc., ISSN 1095-7146, Bd. 23 (2009), 3, S. 1465-1483

https://doi.org/10.1137/080723843
Behrndt, Jussi; Philipp, Friedrich; Trunk, Carsten
Definitizability of a class of J-selfadjoint operators with applications. - In: Proceedings in applied mathematics and mechanics : PAMM.. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 9 (2009), 1, S. 665-666

http://dx.doi.org/10.1002/pamm.200910302
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
Singular indefinite Sturm-Liouville operators with a spectral gap. - In: Proceedings in applied mathematics and mechanics : PAMM.. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 9 (2009), 1, S. 669-670

http://dx.doi.org/10.1002/pamm.200910304
Babovsky, Hans;
Kinetic models on orthogonal groups and the simulation of the Boltzmann equation. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1084 (2009), S. 415-420

http://dx.doi.org/10.1063/1.3076513
Liberzon, Daniel; Trenn, Stephan
On stability of linear switched differential algebraic equations. - In: Proceedings of the 48th IEEE Conference on Decision and Control, 2009 : held jointly with the 2009 28th Chinese Control Conference ; CDC/CCC 2009 ; 15 - 18 Dec. 2009, Shanghai, China.. - Piscataway, NJ : IEEE, ISBN 978-1-4244-3871-6, (2009), S. 2156-2161

http://dx.doi.org/10.1109/CDC.2009.5400076
Ilchmann, Achim; Mueller, Markus
Robustness of [lambda]-tracking and funnel control in the gap metric. - In: Proceedings of the 48th IEEE Conference on Decision and Control, 2009 : held jointly with the 2009 28th Chinese Control Conference ; CDC/CCC 2009 ; 15 - 18 Dec. 2009, Shanghai, China.. - Piscataway, NJ : IEEE, ISBN 978-1-4244-3871-6, (2009), S. 85-90

http://dx.doi.org/10.1109/CDC.2009.5400170
Trenn, Stephan;
Regularity of distributional differential algebraic equations. - In: Mathematics of control, signals, and systems : MCSS.. - London : Springer, ISSN 1435-568X, Bd. 21 (2009), 3, S. 229-264

https://doi.org/10.1007/s00498-009-0045-4
Artmann, Sarah; Pruchnewski, Anja
Constructing a dominating set for bipartite graphs in several rounds. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2009. - Online-Ressource (PDF-Datei: 7 S., 167,9 KB). . - (Preprint. - M09,37)
http://www.db-thueringen.de/servlets/DocumentServlet?id=14792