C05: Stochastic port-Hamiltonian systems and applications to stochastic optimal control

Principal investigators:

Prof. Dr. Matthias Ehrhardt; Prof. Dr. Thomas Kruse

Project description:  

In order to systematically integrate stochastic influences such as random noise into the port-Hamiltonian formalism, a novel approach is developed that extends Dirac structures by a stochastic component. This offers the possibility to develop more realistic models and at the same time to obtain a stochastic dissipativity inequality. Subsequently, optimal control problems for stochastic port-Hamiltonian systems are treated and strategies are derived that control these systems optimally into desired configurations.

Researchers: 

Dr. Julia Ackermann

Publications of project C05: