Optimal approximation rates for Lipschitz controls

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 11 Nov 2002Publisher:IEEEJournal:Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), volume 1, pages 95-96

Authors: Goetz Grammel;

doi: 10.1109/cdc.2000.912739

Optimal approximation rates for Lipschitz controls

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Abstract

For nonlinear nonconvex control systems we investigate the approximation properties of Lipschitz controls. In case that the control range is connected, any trajectory produced by a measurable control can be approximated by trajectories produced by Lipschitz controls. The approximation is of order O(M/sup -1/2/), where M is the Lipschitz constant. An example shows that this approximation order is optimal.

Related Organizations

Technical University of Munich
Germany
Ludwig-Maximilians-Universität München
Germany

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