Prof. Dr. Helmut Maurer

Fachbereich Mathematik und Informatik
Angewandte Mathematik: Institut für Analysis und Numerik
Einsteinstraße 62
D-48149 Münster


Picture Helmut Maurer

Helmut Maurer is a Professor of the Institute since 1977. He retired from teaching duties in 2010. His main interest is in the theory, numerics and applications of optimal control problems for ODEs and some classes of PDEs.

Research Interests

  • Optimal control problems with control and state constraints: Necessary and sufficient optimality conditions, Boundary value methods, Discretization and nonlinear programming methods, Sensitivity analysis and real-time control, Optimal control with time delays, Applications in biomedicine, chemical engineering, climate research and economics, mechanics, mechatronics, physics.
  • Sufficient optimality conditions and sensitivity analysis for problems with control and state constraints, in particular, for bang-bang and singular controls.
  • Minimum Principle for optimal control problems with control and state delays.
  • Discretization and the application of large-scale optimization techniques.
  • Verification of sufficient conditions and related real-time control techniques.
  • Control of semiconductor lasers, robotics and mechatronics, fedbatch processes, economic processes, dynamic models in biomedicine (dose profiles in cancer treatment, multidrug control of a model of the immune response).


You can find a list of publications here. Please note that this list is infrequently updated and might not be completely up to date.

Lecture Notes

Helmut Maurer retired from teaching duties in 2010. We provide his lecture notes, which are still useful. 

List of Completed PhDs

Klemens Baumeister

Wilfried Bollweg

Christof Büskens

Laurenz Göllmann

Thomas Hesselmann

Jang-Ho Kim

Dirk Lebiedz

Dirk Augusting

Georg Vossen

Karsten Theissen