Structural stability via the density of a class of linear discrete systems (Q1093102)
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: Structural stability via the density of a class of linear discrete systems |
scientific article; zbMATH DE number 4021782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structural stability via the density of a class of linear discrete systems |
scientific article; zbMATH DE number 4021782 |
Statements
Structural stability via the density of a class of linear discrete systems (English)
0 references
1987
0 references
The authors discuss linear discrete systems \(x(n+1)=A(n)x(n)\), \(n=0,1,2,..\). in \(R^ k\). Let W be the set of all such systems. The authors prove the following results: 1) The set of multiplicatively separated systems is dense in W. 2) Any structurally stable system has an exponential dichotomy.
0 references
difference equation
0 references
linear discrete systems
0 references
multiplicatively separated systems
0 references
structurally stable system
0 references
exponential dichotomy
0 references
0 references
