Abstract
This paper studies stability properties of general switched systems with multiple distinct equilibria. It is shown that, if the dwell time of the switching events is greater than a certain lower bound, then the trajectory of a general switched system with multiple distinct equilibria, where each system is exponentially stable, globally converges to a superset of those equilibria and remains in that superset.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 949-958 |
| Number of pages | 10 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 17 |
| Issue number | 6 |
| State | Published - 2010 |
| Externally published | Yes |
Keywords
- Dwell time
- Lyapunov theory
- Nonlinear systems
- Stability analysis
- Switched systems
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics