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The Berlin International Graduate School in Model and Simulation based Research cordially invites you and your research group to the next BIMoS Days:
Monday, 9th January at 2pm
Topic: “Decision making in optimal control of complex dynamical systems” by Prof. Falk M. Hante, Humboldt-Universität zu Berlin Lehrstuhl für Angewandte Mathematik mit Schwerpunkt Optimierung komplexer Systeme
Monday, 16th January at 2pm
Topic: “Numerical Methods in Control and Optimization of Dynamical Systems” by Jun. Prof. Jan Heiland Max-Planck-Institut für Dynamik komplexer technischer Systeme, Magdeburg Computational Methods in Systems and Control Theory Zoom-link for the online-events and abstracts can be found on the next pages.
Zoom-Meeting link (for both events): https://zoom.us/j/91335069503?pwd=ejgyeS9KeWNqZnJX WnY2cXFwKytMZz09
Meeting-ID: 913 3506 9503
BIMoS Days are devoted to a particular mathematical methodology and its applications. They typically consist of several talks by the research group. Abstracts: Title “Decision making in optimal control of complex dynamical systems” by Prof. Falk M. Hante Date: Monday, 9th January at 2 pm
Title: “Decision making in optimal control of complex dynamical systems” by Prof. Falk M. Hante
Date: Monday, 9th January at 2 pm
In the age of globalization and digitalization the simulation-based optimization of systems with real and virtually linked components, with elements of discrete logic and adaptive models with hierachies up to partial diffential equations gain increasing importance. These challenges occur for instance in the operation of sustainable energy networks, in coordinating autonomous traffic or in the control of cell dynamics in human neural networks. A broad class of such heterogeneous systems can be considered within the framework of mixed-integer optimal control problems. Decomposition approaches combining mixed-integer programming techniques and methods from optimal control can be used to solve such problems efficiently. The main ideas of the underlying theory and examples will be presented.
Title: “Numerical Methods in Control and Optimization of Dynamical Systems”by Jun. Prof. Jan Heiland
Date: Monday, 16th January at 2 pm
The underlying topic of this lecture is the development, analysis, and implementation of numerical algorithms for robust control and stabilization of (partial) differential equations. A particular focus lies on large-scale descriptor systems that play a role in the control of flows.
Within the vast research field of numerical methods for control systems, we pursue the so-called H-infinity controller design that is designed to work even if the model is faulty.
After an introduction into the basic notions and principles of dynamical systems and control, I will address the challenges that come with high-dimensional (or even infinite-dimensional) nonlinear systems and show some recent theoretical and numerical approaches to their solution. The findings and concepts are illustrated by applications to the Navier-Stokes model equations and to a real-world triple pendulum.
If time suffices, I will address data-driven approaches that use data and possibly techniques from Machine Learning to enhance the models in terms of accuracy or faster evaluation times.
For the abstract with illustrations see the PDF.