Optimal control of ODEs and DAEs M Gerdts Walter de Gruyter GmbH & Co KG, 2023 | 311 | 2023 |

The oracle penalty method M Schlüter, M Gerdts Journal of Global Optimization 47, 293-325, 2010 | 143 | 2010 |

Solving mixed‐integer optimal control problems by branch&bound: a case study from automobile test‐driving with gear shift M Gerdts Optimal Control Applications and Methods 26 (1), 1-18, 2005 | 128 | 2005 |

A variable time transformation method for mixed‐integer optimal control problems M Gerdts Optimal Control Applications and Methods 27 (3), 169-182, 2006 | 122 | 2006 |

Direct shooting method for the numerical solution of higher-index DAE optimal control problems M Gerdts Journal of Optimization Theory and Applications 117, 267-294, 2003 | 104 | 2003 |

MIDACO on MINLP space applications M Schlueter, SO Erb, M Gerdts, S Kemble, JJ Rückmann Advances in Space Research 51 (7), 1116-1131, 2013 | 102 | 2013 |

Approximation of reachable sets using optimal control algorithms R Baier, M Gerdts, I Xausa | 102 | 2012 |

A numerical study of MIDACO on 100 MINLP benchmarks M Schlüter, M Gerdts, JJ Rückmann Optimization 61 (7), 873-900, 2012 | 94 | 2012 |

Generating locally optimal trajectories for an automatically driven car M Gerdts, S Karrenberg, B Müller-Beßler, G Stock Optimization and Engineering 10, 439-463, 2009 | 93 | 2009 |

Differential-algebraic equations forum A Ilchmann, T Reis, L Biegler, S Campbell, C Führer, R März, S Trenn, ... Springer, 2013 | 75 | 2013 |

Path planning and collision avoidance for robots M Gerdts, R Henrion, D Hömberg, C Landry | 72 | 2011 |

A generalized Nash equilibrium approach for optimal control problems of autonomous cars A Dreves, M Gerdts Optimal Control Applications and Methods 39 (1), 326-342, 2018 | 68 | 2018 |

A computational method for non-convex reachable sets using optimal control R Baier, M Gerdts 2009 European Control Conference (ECC), 97-102, 2009 | 62 | 2009 |

Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time M Gerdts, G Greif, HJ Pesch Mathematics and Computers in Simulation 79 (4), 1020-1032, 2008 | 60 | 2008 |

A nonsmooth Newton's method for discretized optimal control problems with state and control constraints M Gerdts, M Kunkel Journal of Industrial and Management Optimization 4 (2), 247, 2008 | 55 | 2008 |

Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions W Alt, R Baier, M Gerdts, F Lempio Numerical Algebra, Control and Optimization 2 (3), 547-570, 2012 | 52 | 2012 |

Optimal control of ordinary differential equations and differential-algebraic equations M Gerdts Habilitation, University of Bayreuth, 2006 | 52 | 2006 |

Global convergence of a nonsmooth Newton method for control-state constrained optimal control problems M Gerdts SIAM Journal on Optimization 19 (1), 326-350, 2008 | 45 | 2008 |

Approximations of linear control problems with bang-bang solutions W Alt, R Baier, F Lempio, M Gerdts Optimization 62 (1), 9-32, 2013 | 43 | 2013 |

Approximation of reachable sets by direct solution methods for optimal control problems R Baier, C Büskens, IA Chahma, M Gerdts Optimisation Methods and Software 22 (3), 433-452, 2007 | 42 | 2007 |