Matthias Gerdts

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 29

Top Topics

Algebraic Equations

Optimal Control

Collision Avoidance

Optimal Control Problems

Top Venues

IEEE Control. Syst. Lett.

J. Optim. Theory Appl.

Publications

Rebecca Richter, Alberto De Marchi, Matthias Gerdts
Collision Avoidance using Iterative Dynamic and Nonlinear Programming with Adaptive Grid Refinements. ECC (2024)
Mostafa Emam, Thomas Rottmann, Matthias Gerdts
Efficient Real-Time Obstacle Avoidance Using Multi-Objective Nonlinear Model Predictive Control and Semi-Smooth Newton Method. VEHITS (2024)
Simon Gottschalk, Matthias Gerdts, Mattia Piccinini
Reinforcement Learning and Optimal Control: A Hybrid Collision Avoidance Approach. VEHITS (2024)
Mostafa Emam, Matthias Gerdts
MPC-Based Routing and Tracking Architecture for Safe Autonomous Driving in Urban Traffic. SN Comput. Sci. 5 (4) (2024)
Jeremy Bertoncini, Viktoriya Nikitina, Matthias Gerdts
Multi-Agent Dynamic Scheduling With a Posteriori Path Tracking and Collision Avoidance Using Model Predictive Control. IEEE Control. Syst. Lett. 7 (2023)
Markus Zwick, Matthias Gerdts, Peter Stütz
Sensor-Model-Based Trajectory Optimization for UAVs to Enhance Detection Performance: An Optimal Control Approach and Experimental Results. Sensors 23 (2) (2023)
Rebecca Richter, Andreas Britzelmeier, Matthias Gerdts
An adaptive mesh dynamic programming algorithm for robotic manipulator trajectory planning. ECC (2023)
Rebecca Richter, Alberto De Marchi, Matthias Gerdts
Collision Avoidance using Iterative Dynamic and Nonlinear Programming with Adaptive Grid Refinements. CoRR (2023)
Alberto De Marchi, Axel Dreves, Matthias Gerdts, Simon Gottschalk, Sergejs Rogovs
A Function Approximation Approach for Parametric Optimization. J. Optim. Theory Appl. 196 (1) (2023)
Florian Steppich, Matthias Gerdts
Time Evolution of the State Probability Density Function by Iterative Polynomial Chaos Expansion. ECC (2023)
Mostafa Emam, Matthias Gerdts
Deterministic Operating Strategy for Multi-objective NMPC for Safe Autonomous Driving in Urban Traffic. VEHITS (2022)
Blanca Pablos, Matthias Gerdts
Substructure exploitation of a nonsmooth Newton method for large-scale optimal control problems with full discretization. Math. Comput. Simul. 190 (2021)
Matthias Gerdts, Sergejs Rogovs, Giammarco Valenti
A Piecewise Linearization Algorithm for Solving MINLP in Intersection Management. VEHITS (2021)
Andreas Britzelmeier, Matthias Gerdts, Omid Moslehi Rad, Thomas Rottmann
ROCS: A Realtime Optimization and Control Simulator. Simul. Notes Eur. 31 (4) (2021)
Björn Martens, Matthias Gerdts
Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints. SIAM J. Control. Optim. 59 (3) (2021)
Damir Rusiti, Tiago Roux Oliveira, Miroslav Krstic, Matthias Gerdts
Robustness to delay mismatch in extremum seeking. Eur. J. Control 62 (2021)
Matthias Gerdts, Sergejs Rogovs, Giammarco Valenti
Solving Complex Intersection Management Problems Using Bi-level MINLPs and Piecewise Linearization Techniques. SMARTGREENS/VEHITS (Selected Papers) (2021)
Björn Martens, Matthias Gerdts
Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints. SIAM J. Control. Optim. 58 (1) (2020)
Andreas Britzelmeier, Matthias Gerdts
A Nonsmooth Newton Method for Linear Model-Predictive Control in Tracking Tasks for a Mobile Robot With Obstacle Avoidance. IEEE Control. Syst. Lett. 4 (4) (2020)
Caroline Specht, Matthias Gerdts, Roberto Lampariello
Neighborhood estimation in sensitivity-based update rules for real-time optimal control. ECC (2020)
Damir Rusiti, Giulio Evangelisti, Tiago Roux Oliveira, Matthias Gerdts, Miroslav Krstic
Stochastic Extremum Seeking for Dynamic Maps With Delays. IEEE Control. Syst. Lett. 3 (1) (2019)
Alberto De Marchi, Matthias Gerdts
Sparse Switching Times Optimization and a Sweeping Hessian Proximal Method. OR (2019)
Marcella Samà, Andrea D'Ariano, Konstantin Palagachev, Matthias Gerdts
Integration methods for aircraft scheduling and trajectory optimization at a busy terminal manoeuvring area. OR Spectr. 41 (3) (2019)
Alberto De Marchi, Matthias Gerdts
Free finite horizon LQR: A bilevel perspective and its application to model predictive control. Autom. 100 (2019)
Alberto De Marchi, Matthias Gerdts
Nonsmooth Newton's Method: Some Structure Exploitation. ICCS (3) (2019)
Marcella Sama, Andrea D'Ariano, Dario Pacciarelli, Konstantin Palagachev, Matthias Gerdts
Optimal aircraft scheduling and flight trajectory in terminal control areas. MT-ITS (2017)
Vladimir Gaitsgory, Matthias Gerdts
On Numerical Solution of Singularly Perturbed Optimal Control Problems. J. Optim. Theory Appl. 174 (3) (2017)
Jane Jean Kiam, Matthias Gerdts, Axel Schulte
Fast Subset Path Planning/ Replanning to Avoid Obstacles with Time-Varying Probabilistic Motion Patterns. STAIRS (2016)
Matthias Rieck, Guillermo P. Falconi, Matthias Gerdts, Florian Holzapfel
Periodic full circuit race line optimization under consideration of a dynamic model with gear changes. CCA (2016)
Konstantin Palagachev, Matthias Gerdts
Exploitation of the Value Function in a Bilevel Optimal Control Problem. System Modelling and Optimization (2015)
Michael Burger, Matthias Gerdts, Simone Göttlich, Michael Herty
Dynamic Programming Approach for Discrete-Valued Time Discrete Optimal Control Problems with Dwell Time Constraints. System Modelling and Optimization (2015)
Jürgen Pannek, Tom Naundorf, Matthias Gerdts
Autonomous Control Strategy for High Precision Marking of Installation Drill Holes Using a Mobile Robot. LDIC (2014)
Jinhai Chen, Matthias Gerdts
Smoothing Technique of Nonsmooth Newton Methods for Control-State Constrained Optimal Control Problems. SIAM J. Numer. Anal. 50 (4) (2012)
Matthias Gerdts, Björn Hüpping
Virtual control regularization of state constrained linear quadratic optimal control problems. Comput. Optim. Appl. 51 (2) (2012)
Chantal Landry, Matthias Gerdts, René Henrion, Dietmar Hömberg
Path-Planning with Collision Avoidance in Automotive Industry. System Modelling and Optimization (2011)
Matthias Gerdts
Erratum: Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems. SIAM J. Optim. 21 (2) (2011)
Matthias Gerdts, Martin Kunkel
A globally convergent semi-smooth Newton method for control-state constrained DAE optimal control problems. Comput. Optim. Appl. 48 (3) (2011)
Matthias Gerdts, Ilaria Xausa
Avoidance Trajectories Using Reachable Sets and Parametric Sensitivity Analysis. System Modelling and Optimization (2011)
Martin Schlüter, Matthias Gerdts
The oracle penalty method. J. Glob. Optim. 47 (2) (2010)
Robert Baier, Matthias Gerdts
A computational method for non-convex reachable sets using optimal control. ECC (2009)
Matthias Gerdts, Günter Greif, Hans Josef Pesch
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time. Math. Comput. Simul. 79 (4) (2008)
Matthias Gerdts
A nonsmooth Newton's method for control-state constrained optimal control problems. Math. Comput. Simul. 79 (4) (2008)
Matthias Gerdts
Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems. SIAM J. Optim. 19 (1) (2008)
Robert Baier, Christof Büskens, Ilyes Aïssa Chahma, Matthias Gerdts
Approximation of reachable sets by direct solution methods for optimal control problems. Optim. Methods Softw. 22 (3) (2007)