On open-loop and feedback attainability of a closed set for nonlinear control systems (Q1614702)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On open-loop and feedback attainability of a closed set for nonlinear control systems |
scientific article; zbMATH DE number 1797520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On open-loop and feedback attainability of a closed set for nonlinear control systems |
scientific article; zbMATH DE number 1797520 |
Statements
On open-loop and feedback attainability of a closed set for nonlinear control systems (English)
0 references
8 September 2002
0 references
The attainability of a closed set with respect to the trajectories of a differential inclusion is studied under suitable assumptions. This property is closely related to the continuity of the minimal time function. The main result is a sufficient attainability condition. If the set is more regular, then the existence of continuous selections of the right-hand side of the differential inclusion providing the attainability property is proved. Following the main idea of [\textit{V. Veliov}, Set-Valued Anal. 5, 73-88 (1997; Zbl 0878.93054)], the set of all viable trajectories is also described.
0 references
attainability
0 references
feedback control
0 references
viability
0 references
differential inclusion
0 references
continuity of the minimal time function
0 references
existence of continuous selections
0 references
0 references
0.9020024
0 references
0.8993654
0 references
0.8963826
0 references
0.8929859
0 references
0.89229876
0 references
0 references
0.8881368
0 references
