Sufficient and necessary conditions for the stable controllability of a nonlinear nonstationary system on the plane in the critical case (Q1768965)
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: Sufficient and necessary conditions for the stable controllability of a nonlinear nonstationary system on the plane in the critical case |
scientific article; zbMATH DE number 2146337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient and necessary conditions for the stable controllability of a nonlinear nonstationary system on the plane in the critical case |
scientific article; zbMATH DE number 2146337 |
Statements
Sufficient and necessary conditions for the stable controllability of a nonlinear nonstationary system on the plane in the critical case (English)
0 references
15 March 2005
0 references
The authors investigate the stable controllability at the origin of a planar system of the form \[ \dot x=f_0(x,t)+uf_1(x,t). \] In particular, they do not assume the stable controllability of the linear approximating system. For such a degenerate case, working with the integral surfaces of solutions, they give a sufficient condition as well as a necessary condition for stable controllability.
0 references
nonlinear control systems
0 references
stable controllability
0 references
linearization
0 references
critical case
0 references
planar system
0 references
