Abstract
For a generic single input planar control system we are concerning with the set of extremals for the minimum time problem. We study some singularities of the projection of the extremals's locus from the cotangent bundle to R2. The structure of this locus near the origin is showed in details and sufficient conditions under which it is a piecewise C1 manifold with boundary are given. Finally we give examples of cusps singularities that happen in presence of overlap curves of the optimal synthesis.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2936-2941 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| State | Published - 1999 |
| Externally published | Yes |
| Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization