Contributions to Books:
V.M. Veliov:
"Relaxation of Euler-Type Discrete-Time Control System";
in: "Large-Scale Scientific Computing",
9374;
I. Lirkov, S. Margenov, J. Waśniewski (ed.);
Springer,
2015,
ISBN: 978-3-319-26519-3,
134
- 141.
English abstract:
This paper investigates what is the Hausdorff distance
between the set of Euler curves of a Lipschitz continuous differential
inclusion and the set of Euler curves for the corresponding convexified differential inclusion. It is known that this distance can be estimated by O( √ h), where h is the Euler discretization step. It has been conjectured that, in fact, an estimation O(h) holds. The paper presents results in favor of the conjecture, which cover most of the practically relevant cases. However, the conjecture remains unproven, in general.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/978-3-319-26520-9
Created from the Publication Database of the Vienna University of Technology.