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2286. Regularity in optimal control and applications
Invited abstract in session TD-33: Optimal control theory, stream Optimal Control Theory and Applications.
Tuesday, 14:30-16:00Room: 42 (building: 303A)
Authors (first author is the speaker)
| 1. | Vladimir Veliov
|
| Institute of Statistics and Mathematical Methods in Economics, Vienna University of Technology |
Abstract
The talk is devoted to an extension of the property of strong metric
sub-regularity of mappings. We focus on the so-called optimality mapping associated with the system of first order necessary optimality conditions for
ODE optimal control problems. Problems that satisfy the Legendre-Clebsch condition and affine optimal control problems will be considered separately.
Two applications will be presented:
(i) existence of Lipschitz continuous optimal feedback control;
(ii) convergence with error estimates of discretization and Newton-like
methods for optimal control.
Keywords
- Optimal Control
Status: accepted
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