Prof. Dr. Matthias Gerdts

bis März 2005: wissenschaftlicher Mitarbeiter

Kontaktdaten

E-Mail: email-Adresse von Matthias Gerdts
Homepage: http://www.unibw.de/lrt1/gerdts/

ausgewählte Publikationen

W. Alt, R. Baier, M. Gerdts, F. Lempio: Approximation of Linear Control Problems with Bang-Bang Solutions
Optimization 62 (1), 9 - 32, 2013, online available in iFirst since May 2011

DOI: 10.1080/02331934.2011.568619


R. Baier, M. Gerdts, I. Xausa: Approximation of Reachable Sets using Optimal Control Algorithms
Numerical Algebra, Control and Optimization 3 (3), 519 - 548, 2013,  

DOI: 10.3934/naco.2013.3.519


M. Gerdts,I. Xausa: Avoidance trajectories using reachable sets and parametric sensitivity analysis
in: System modeling and optimization. 25th IFIP TC 7 conference on system modeling and optimization, CSMO 2011, Berlin, Germany, September 12–16, 2011. Revised Selected Papers, D. Hömberg, F. Tröltzsch (eds.)
IFIP Advances in Information and Communication Technology 391, 2013, 491 - 500

DOI: 10.1007/978-3-642-36062-6_49


W. Alt, R. Baier, M. Gerdts, F. Lempio: Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
Numerical Algebra, Control and Optimization 2 (3), 547 - 570, 2012,

A special issue Dedicated to Professor Helmut Maurer on the occasion of his 65th birthday. Submitted in July 2011.

DOI: 10.3934/naco.2012.2.547
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I. Kornienko, M. Gerdts, M. de Pinho: A new version of necessary conditions for optimal control problems with differential algebraic equations
in: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia, Melbourne, Australia, 2012, 8 pages, CD-ROM, Paper No. 43, full paper

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I. Xausa, R. Baier, M. Gerdts, M. Gonter, C. Wegwerth: Avoidance trajectories for driver assistance systems via solvers for optimal control problems
in: Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS2012), 8 pages, Melbourne, Australia, 2012, CD-ROM, Paper No. 294, full paper

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R. Baier, M. Gerdts, I. Xausa: Approximation of Reachable Sets using Optimal Control Algorithms
36 pages, University of Bayreuth, Germany, 2011, technical report, October 2011, updated from version in April 26, 2010

Download as PDF (File "baier_gerdts_xausa_approx_reach_sets_2011.pdf")
Download as PDF (File "baier_gerdts_xausa_approx_reach_sets_2011_old.pdf")


M. Gerdts, F. Lempio: Mathematische Optimierungsverfahren des Operations Research
in: De Gruyter Studium, De Gruyter Verlag, Berlin, Germany, 2011, ix + 527 pages

DOI: 10.1515/9783110249989


R. Baier, M. Gerdts: A Computational Method for Non-Convex Reachable Sets using Optimal Control
in: Proceedings of the European Control Conference (ECC) 2009, August 23-26, session MoA2.6, EUCA, Budapest, Hungary, 2009, 97 - 102

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R. Baier, C. Büskens, I. A. Chahma, M. Gerdts: Approximation of Reachable Sets by Direct Solution Methods of Optimal Control Problems
Optimization Methods and Software 22 (3), 433 - 452, 2007

DOI: 10.1080/10556780600604999
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M. Gerdts: Optimal Control of Ordinary Differential Equations and Differential-Algebraic Equations
Habilitation, iv + 235 pages, Department of Mathematics, University of Bayreuth,
Bayreuth, Germany, 2006


R. Baier, M. Gerdts: Set-Valued Numerical Analysis and Optimal Control
in: Lecture Notes for the DAAD Intensive Course ``Optimization - Theory and Applications'' (July 05 -17, 2005), 264 pages, July 2005

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M. Gerdts: Numerische Methoden optimaler Steuerprozesse mit differential-algebraischen Gleichungssystemen höheren Indexes und ihre Anwendungen in der Kraftfahrzeugsimulation und Mechanik
in: Dissertation, iv + 139 pp., Bayreuth, Germany, 2001


Homepage

http://www.unibw.de/lrt1/gerdts/