Team > AD Dr. Robert Baier

Faculty of Mathematics, Physics and Computer Sciences
Department of Mathematics

AD Dr. Robert Baier
Academic Director, Senior Lecturer
webmaster of the Chair (and of the Mathematical Institute until 27 April 2022)
in the local organisation committees of the SCINDIS 2026 and MTNS 2022

contact data

research priorities

projects

profiles

Faculty of Mathematics, Physics and Computer Sciences
Department of Mathematics

• Set-valued numerics (esp. interpolation, integration, approximation, selections and fixed points of set-valued maps)
  
• Differential inclusions (esp. reachable sets at a given time, approximation of trajectories, discontinuous differential equations, impulsive systems)
  
• Optimal control problems and control theory (esp. direct discretization methods, convergence of discretization methods, numerical computation of Lyapunov functions and invariant sets)
  
• Convex analysis (esp. representation of sets, arithmetic set operations, difference of convex sets and functins (DC), embeddings of convex compacts into a Banach space)
  
• Nonsmooth optimization (esp. nonconvex subdifferentials, DC and quasidifferentiable functions, optimality conditions)
  
• see also the web page with the visualization
  

my running projects

• Nonconvex subdifferentials in nonsmooth optimization
• Set-valued numerical analysis

my finished projects

• edition of the series “Bayreuther Mathematischen Schriften (BMS)”
• ITN SADCO "Optimal control approaches to reachability analysis: safety & avoidance" (Task 2.5)

Faculty of Mathematics, Physics and Computer Sciences
Department of Mathematics

MODUS-related publications

2023

Articles in a journal    ↑ top

Robert Baier and Elza Farkhi: A Filippov Approximation Theorem for Strengthened One-Sided Lipschitz Differential Inclusions. In: Computational Optimization and Applications, 86 (2023). - S. 885-923.
doi:10.1007/s10589-023-00517-9

2021

Articles in a journal    ↑ top

Wolfgang Riedl, Robert Baier and Matthias Gerdts: Optimization-based subdivision algorithm for reachable sets. In: Journal of Computational Dynamics, 8 (2021). - S. 99-130.
doi:10.3934/jcd.2021005

2020

Articles in a journal    ↑ top

Ilaria Xausa, Robert Baier, Olivier Bokanowski and Matthias Gerdts: Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach. In: Optimal Control Applications and Methods, 41 (2020). - S. 668-689.
doi:10.1002/oca.2565

2019

Articles in a journal    ↑ top

Robert Baier and Thuy Thi Thien Le: Construction of the Minimum Time Function for Linear Systems Via Higher-Order Set-Valued Methods. In: Mathematical Control and Related Fields, 9 (2019). - S. 223-255.
doi:10.3934/mcrf.2019012

2014

Further publications    ↑ top

Ilaria Xausa, Robert Baier, Olivier Bokanowski, Matthias Gerdts and Daniel Töpfer: Software for verification of collision avoidance algorithms via optimal control techniques. - (Vortrag), Veranstaltung: Conference on New Trends in Optimal Control (NetCO 2014), 23.-27. Juni 2014, Tours, Frankreich.

2013

Articles in a journal    ↑ top

Robert Baier, Matthias Gerdts and Ilaria Xausa: Approximation of reachable sets using optimal control algorithms. In: Numerical Algebra, Control and Optimization, 3 (2013). - S. 519-548.
doi:10.3934/naco.2013.3.519

2012

Book chapters & Conference proceedings    ↑ top

Ilaria Xausa, Robert Baier, Matthias Gerdts, Mark Gonter and Christian Wegwerth: Avoidance trajectories for driver assistance systems via solvers for optimal control problems. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events, 2012. - S. 8.

Faculty of Mathematics, Physics and Computer Sciences
Department of Mathematics

AD Dr. Robert Baier
Academic Director, Senior Lecturer

University of Bayreuth
Chair of Applied Mathematics
Universitätsstraße 30
95440 Bayreuth, Germany