Title :
Optimal approximation rates for Lipschitz controls
Author :
Grammel, Goetz P.
Author_Institution :
Center for Math., Tech. Univ. Munchen, Germany
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-1/2), where M is the Lipschitz constant. An example shows that this approximation order is optimal
Keywords :
approximation theory; computational complexity; nonlinear control systems; optimal control; Lipschitz controls; approximation properties; measurable control; nonlinear nonconvex control systems; optimal approximation rates; Control systems; Convergence; Differential equations; Game theory; Mathematics; Mechanical systems; Mechanical variables measurement; Nonlinear control systems; Optimal control;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912739
