Optimal control of ODEs and DAEs M Gerdts Walter de Gruyter, 2011 | 197 | 2011 |

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 | 100 | 2005 |

A variable time transformation method for mixed‐integer optimal control problems M Gerdts Optimal Control Applications and Methods 27 (3), 169-182, 2006 | 96 | 2006 |

Direct shooting method for the numerical solution of higher-index DAE optimal control problems M Gerdts Journal of Optimization Theory and Applications 117 (2), 267-294, 2003 | 90 | 2003 |

The oracle penalty method M Schlüter, M Gerdts Journal of Global Optimization 47 (2), 293-325, 2010 | 89 | 2010 |

Generating locally optimal trajectories for an automatically driven car M Gerdts, S Karrenberg, B Müller-Beßler, G Stock Optimization and Engineering 10 (4), 439, 2009 | 70 | 2009 |

Approximation of reachable sets using optimal control algorithms R Baier, M Gerdts, I Xausa | 69 | 2012 |

A numerical study of MIDACO on 100 MINLP benchmarks M Schlüter, M Gerdts, JJ Rückmann Optimization 61 (7), 873-900, 2012 | 59 | 2012 |

Differential-algebraic equations forum A Ilchmann, T Reis, L Biegler, S Campbell, C Führer, R März, S Trenn, ... Springer, 2013 | 50 | 2013 |

A computational method for non-convex reachable sets using optimal control R Baier, M Gerdts 2009 European Control Conference (ECC), 97-102, 2009 | 49 | 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 | 49 | 2008 |

MIDACO on MINLP space applications M Schlueter, SO Erb, M Gerdts, S Kemble, JJ Rückmann Advances in Space Research 51 (7), 1116-1131, 2013 | 48 | 2013 |

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 | 47 | 2008 |

Optimal control of ordinary differential equations and differential-algebraic equations M Gerdts Habilitation, University of Bayreuth, 2006 | 47 | 2006 |

Path planning and collision avoidance for robots M Gerdts, R Henrion, D Hömberg, C Landry Numerical Algebra, Control & Optimization 2 (3), 437, 2012 | 46 | 2012 |

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 & Optimization 2 (3), 547, 2012 | 38 | 2012 |

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 | 38 | 2008 |

Approximations of linear control problems with bang-bang solutions W Alt, R Baier, F Lempio, M Gerdts Optimization 62 (1), 9-32, 2013 | 37 | 2013 |

Chapter 9: Mixed-integer DAE optimal control problems: Necessary conditions and bounds M Gerdts, S Sager Control and Optimization with Differential-Algebraic Constraints, 189-212, 2012 | 29 | 2012 |

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 | 28 | 2018 |