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Prof. Dr. Helmut Maurer

Institute for Computational and Applied Mathematics

WWU Münster

Orléans-Ring 10

D-48149 Münster

e-mail: maurer at math dot uni-muenster dot de

Office: Orléans-Ring 10, N220

Phone: +49 (0)251 83-33099
Fax: +49 (0)251 83-32729

Fields of research: Optimization and Optimal Control

We are concerned with 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.

Publications Publications (PDF)

Theoretical projects 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.

Numerical Projects Discretization and the application of large-scale optimization techniques

Verification of sufficient conditions and related real-time control techniques.

Applications 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).

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Tel.: +49 (251) 83-0 - Fax: +49 (251) 83-3 20 90