Abstract
Topological necessary conditions of smooth stabilization in the large are obtained. In particular, if a smooth single-input nonlinear system is smoothly stabilizable in the large at some point of a connected component of an equilibrium set, then the connected component is an unbounded curve.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 35-41 |
| Number of pages | 7 |
| Journal | Systems and Control Letters |
| Volume | 21 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1993 |
| Externally published | Yes |
Keywords
- Nonlinear systems
- asymptotic stabilization
- degree of continuous functions
- feedback control
ASJC Scopus subject areas
- Control and Systems Engineering
- General Computer Science
- Mechanical Engineering
- Electrical and Electronic Engineering