On the theorem for nonasymptotic stability in the direct Lyapunov method. (Q1426570)
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 the theorem for nonasymptotic stability in the direct Lyapunov method. |
scientific article; zbMATH DE number 2057079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the theorem for nonasymptotic stability in the direct Lyapunov method. |
scientific article; zbMATH DE number 2057079 |
Statements
On the theorem for nonasymptotic stability in the direct Lyapunov method. (English)
0 references
15 March 2004
0 references
The main concern of this paper is the extension of Lyapunov's first theorem on nonasymptotic stability in a topological setting. The author assumes that a Lyapunov function, which may change its sign, is available and points out the conditions which ensure that a compact, positively invariant set is stable.
0 references
stability
0 references
attraction
0 references
Lyapunov functions
0 references
topological setting
0 references
positively invariant set
0 references
