Upcoming Events
CMAI Colloquium (April 30, 2021) by Prof. Karl Kunisch
Apr 30, 2021, 10:00 - 11:00 AM
The next CMAI Colloquium will be on
Date: | Friday April 30, 2021 at 10:00 am (Eastern Time) |
Speaker: | Professor, Department of Mathematics, University of Graz, Austria Scientific Director, Radon Institute of the Austrian Academy of Sciences, Linz, Austria |
Title: | Semiglobal optimal Feedback stabilization of autonomous systems via deep neural network approximation |
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Abstract: | A learning approach for optimal feedback gains for nonlinear continuous time control systems is proposed and analysed. The goal is to establish a rigorous framework for computing approximating optimal feedback gains using neural networks. The approach rests on two main ingredients. First, an optimal control formulation involving an ensemble of trajectories with 'control' variables given by the feedback gain functions. Second, an approximation to the feedback functions via realizations by neural networks. Based on universal approximation properties we prove the existence and convergence of optimal stabilizing neural network feedback controllers. The talk is based on joint work with Daniel Walter. |