Abstract
Consider the problem of reaching the origin in minimum time, for the control system ẋ = F(x) + G(x)u, |u(t)| ≤ 1, assuming F(0) = 0, x ∈ ℝ2. For a generic family of C3 vector fields F,G, we introduce an equivalence relation on the corresponding time-optimal feedback. We describe an algorithm to construct an optimal synthesis and give generic conditions in order to obtain the structural stability of feedbacks.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 335-371 |
| Number of pages | 37 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm |
| Volume | 3 |
| Issue number | 3 |
| State | Published - Sep 1 1997 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics