Abstract
We investigate the asymptotic properties of singularly perturbed control systems with three time scales. We apply the averaging method to construct a limiting system for the slowest motion in the form of a differential inclusion. Sufficient conditions for the uniform convergence of the slowest trajectories are given.
| Original language | English |
|---|---|
| Pages (from-to) | 395-403 |
| Number of pages | 9 |
| Journal | Systems and Control Letters |
| Volume | 42 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2001 |
| Externally published | Yes |
Keywords
- Averaging method
- Convex analysis
- Differential inclusion
- Hausdorff metric
- Multi-time scales
- Nonlinear control systems
- Singular perturbation