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DTSTAMP:20230127T154136
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SUMMARY:Talk of Prof. Kanat Camlibel
DESCRIPTION:Prof. Kanat Camlibel\nBernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence\nUniversity of Groningen\nGroningen, Netherlands \nTuesday 2023-02-07 4 p.m.\nIST Seminar Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen \nAbstract\nThis talk focuses on a data-driven model reduction approach on the basis of noisy data.\nFirstly, the concept of data reduction is introduced. In particular, we show that the set\nof reduced-order models obtained by applying a Petrov-Galerkin projection to all systems\nexplaining the data characterized in a large-dimensional quadratic matrix inequality\n(QMI) can again be characterized in a lower-dimensional QMI. Next, we develop a\ndata-driven generalized balanced truncation method that relies on two steps. First, we\nprovide necessary and sufficient conditions such that systems explaining the data have\ncommon generalized Gramians. Second, these common generalized Gramians are\nused to construct projection matrices that allow to characterize a class of\nreduced-order models via generalized balanced truncation in terms of a lower-dimensional\nQMI by applying the data reduction concept. Additionally, we present alternative procedures\nto compute a priori and a posteriori upper bounds with respect to the true system\ngenerating the data. \nBiographical Information\nKanat Camlibel received the Ph.D. degree in mathematical theory of systems and control from\nTilburg University in 2001. From 2001 to 2005, he held post-doctoral positions at the University of\nGroningen and Tilburg University. Between 2005 and 2007, he was an assistant professor at Eindhoven\nUniversity of Technology. In 2007, he joined the University of Groningen where he is currently a\nfull professor at the Bernoulli Institute for Mathematics, Computer Science, and Artificial\nIntelligence. His research interests include differential variational inequalities, complementarity\nproblems, optimization, piecewise affine dynamical systems, switched linear systems, constrained\nlinear systems, multi-agent systems, model reduction, geometric theory of linear systems, and\ndata-driven control. Dr. Camlibel is an associate editor of the IEEE Transactions on Automatic\nControl, and is the past associate editor of International Journal of Robust and Nonlinear Control,\nSIAM Journal on Control and Optimization, and Systems and Control Letters.
DTSTART;VALUE=DATE:20230207
URL;VALUE=URI:https://www.ist.uni-stuttgart.de/events/Talk-of-Prof.-Kanat-Camlibel/
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