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DTSTAMP:20240313T144805
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SUMMARY:Talk of Prof. Fritz Colonius
DESCRIPTION:Prof. Dr. Fritz Colonius\nInstitute of Mathematics\n University of Augsburg\nAugsburg, Germany \n\n \nMonday 2024-03-25 2 p.m.\nIST Seminar Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen \nAbstract\nThis talk concerns controllability properties of affine control systems described by ordinary\ndifferential equations with bounded controls. Here controllability in the state space is an\nexceptional property, but controllability in subsets will hold. I will discuss chain\ncontrollability properties which constitute a weaker version of approximate controllability and may\nbe difficult to distinguish from it in numerical computations. Here small jumps in the trajectories\nare allowed and hence this is not a physical notion. The characterization of chain control sets\nreveals, in particular, the linear nature of chain control sets, despite the presence of control\nconstraints. The first part of the talk will discuss linear systems, and the second part presents\nthe main results for affine systems. \nBiographical Information\nAfter the study of mathematics in Braunschweig and Bielefeld, Fritz Colonius obtained his\ndoctoral degree (1979) and habilitation (1986) from the University of Bremen. Following various\npostdoc positions (including at the University of Graz and Brown University) and a Heisenberg grant\nhe held a position as Professor for Applied Analysis at the University of Augsburg till his\nretirement in 2017.\nAfter early work on functional differential equations, optimal periodic control, and\nparameter identification problems, he has mainly worked on various aspects of nonlinear systems\ntheory and its relations to deterministic and random dynamical systems.
DTSTART;VALUE=DATE:20240325
URL;VALUE=URI:https://www.ist.uni-stuttgart.de/events/Talk-of-Prof.-Fritz-Colonius/
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