Publications in Scientific Journals:
J. Preininger, T. Scarinci, V.M. Veliov:
"Metric regularity properties in bang-bang type linear-quadratic optimal control problems.";
Set-Valued and Variational Analysis,
*
(2018),
08.Aug.2018;
24 pages.
English abstract:
The paper investigates the Lipschitz/Hölder stability with respect to perturbations of the solutions of linear-quadratic optimal control problems where the control variable appears linearly and the optimal one is of bang-bang type. Conditions for bi-metric regularity and (Hölder) metric sub-regularity are established, involving only the order of the zeros of the associated switching function and smoothness of the data. The results provide a basis for investigation of various approximation methods and are applied in this paper for convergence analysis of a Newton-type method.
Keywords:
variational analysis, optimal control, linear control systems, bang-bang controls, metric regularity, stability analysis, Newton´s method
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s11228-018-0488-1
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_272701.pdf
Created from the Publication Database of the Vienna University of Technology.