Publications 2012

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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N. Altmüller, L. Grüne: Distributed and boundary model predictive control for the heat equation
GAMM Mitteilungen 35 (2), 131 - 145, 2012

DOI: 10.1002/gamm.201210010
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R. Baier: Set-valued Euler's method with interpolated distance functions and optimal control solvers
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, 4 pages, CD-ROM, Paper No. 85, extended abstract

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R. Baier, Q. Din, T. D. Donchev: Higher Order Runge-Kutta Methods for Impulsive Differential Systems
Applied Mathematics and Computation, 218, (24), 11790 - 11798, 2012

DOI: 10.1016/j.amc.2012.05.037


R. Baier, E. Farkhi, V. Roshchina: The Directed and Rubinov Subdifferentials of Quasidifferentiable Functions. Part I: Definition and Examples
Nonlinear Analysis: Theory, Methods & Applications 75 (3), 1074 - 1088, 2012

DOI: 10.1016/j.na.2011.04.074
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R. Baier, E. Farkhi, V. Roshchina: The Directed and Rubinov Subdifferentials of Quasidifferentiable Functions. Part II: Calculus
Nonlinear Analysis: Theory, Methods & Applications 75 (3), 1058 - 1073, 2012

DOI: 10.1016/j.na.2011.04.073
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R. Baier, L. Grüne, S.F. Hafstein: Linear programming based Lyapunov function computation for differential inclusions
Discrete and Continuous Dynamical Systems- Series B 17 (1), 33 - 56, 2012

DOI: 10.3934/dcdsb.2012.17.33
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R. Baier, M. Hessel-von Molo: Newton's method and secant method for set-valued mappings
in: Proceedings on the 8th International Conference on "Large-Scale Scientific Computations" (LSSC 2011), Sozopol, Bulgaria, June 6-10, 2011. Revised Selected Papers, I. Lirkov, S. Margenov, J. Wanśiewski (eds.)
Lecture Notes in Computer Science 7116, Springer-Verlag, Berlin-Heidelberg, 2012, 91 - 98

DOI: 10.1007/978-3-642-29843-1_9
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P. Braun, J. Pannek, K. Worthmann: Predictive Control Algorithms: Stability despite Shortened Optimization Horizons
in: Proceedings on the 15-th IFAC Workshop on Control Applications of Optimization CAO'2012, Rimini, Italy, 2012, 284 - 289

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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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L. Grüne: Economic MPC and the role of exponential turnpike properties
in: Oberwolfach Reports, 2012, 678-681

DOI: 10.4171/OWR/2012/12
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L. Grüne: Economic MPC without terminal constraints
Extended Abstract
in: Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 2012, CD-ROM, Paper No. 58, 4 pages

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L. Grüne: NMPC without terminal constraints
in: Proceedings of the IFAC Conference on Nonlinear Model Predictive Control 2012 (NMPC'12), 2012, 1 - 13

DOI: 10.3182/20120823-5-NL-3013.00030
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L. Grüne, T. Jahn: Computing reachable sets via barrier methods on SIMD architectures
in: Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), J. Eberhardsteiner, H.J. Böhm, F.G. Rammerstorfer (eds.)
Vienna University of Technology, Vienna, Austria, 2012, CD-ROM, Paper No. 1518, 20 pages

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L. Grüne, J. Pannek, M. Seehafer, K. Worthmann: Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon
in: Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012, 2605 - 2610

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L. Grüne, J. Pannek, K. Worthmann: Ensuring Stability in Networked Systems with Nonlinear MPC for Continuous Time Systems
in: Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012, 14 - 19

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L. Grüne, K. Worthmann: A distributed NMPC scheme without stabilizing terminal constraints
in: Distributed Decision Making and Control, Chapter 12, R. Johansson, A. Rantzer (eds.)
Springer Verlag, 2012, 259 - 285

DOI: 10.1007/978-1-4471-2265-4_12
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M. Hänel, S. Kuhn, D. Henrich, L. Grüne, J. Pannek: Optimal camera placement to measure distances conservatively regarding static and dynamic obstacles
Int. J. Sensor Networks 12 (1), 25 - 36, 2012

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H. Li, F. Wirth: Zubov's method for interconnected systems - a dissipative formulation
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. 184, full paper

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V. Palma, L. Grüne: Stability, performance and robustness of sensitivity-based multistep feedback NMPC
Extended Abstract
in: Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 2012, CD-ROM, Paper No. 68, 4 pages

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K. Worthmann: Estimates on the Prediction Horizon Length in Model Predictive Control
in: Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS2012), Melbourne, Australia, 2012, MTNS2012_0112_paper.pdf

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K. Worthmann: Estimates of the Prediction Horizon Length in MPC: a Numerical Case Study
in: Proceedings of the IFAC Conference on Nonlinear Model Predictive Control 2012 (NMPC'12), Noordwijkerhout, the Netherlands, 2012, 0037.pdf

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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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