DocumentCode
1743789
Title
Optimal approximation rates for Lipschitz controls
Author
Grammel, Goetz P.
Author_Institution
Center for Math., Tech. Univ. Munchen, Germany
Volume
1
fYear
2000
fDate
2000
Firstpage
95
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location
Sydney, NSW
ISSN
0191-2216
Print_ISBN
0-7803-6638-7
Type
conf
DOI
10.1109/CDC.2000.912739
Filename
912739
Link To Document