Nearly Time Optimal Stabilizing Patchy Feedbacks
| dc.creator | Ancona, Fabio | |
| dc.creator | Bressan, Alberto | |
| dc.date | 2005-12-22 | |
| dc.date.accessioned | 2026-07-07T06:55:42Z | |
| dc.date.available | 2026-07-07T06:55:42Z | |
| dc.description | We consider the time optimal stabilization problem for a nonlinear control system $\dot x=f(x,u)$. Let $τ(y)$ be the minimum time needed to steer the system from the state $y\in\R^n$ to the origin, and call $\A(T)$ the set of initial states that can be steered to the origin in time $τ(y)\leq T$. Given any $\ve>0$, in this paper we construct a patchy feedback $u=U(x)$ such that every solution of $\dot x=f(x, U(x))$, $x(0)=y\in \A(T)$ reaches an $\ve$-neighborhood of the origin within time $τ(y)+\ve$. | |
| dc.description | 42 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0512531 | |
| dc.identifier | http://arxiv.org/abs/math/0512531 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106364 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Nearly Time Optimal Stabilizing Patchy Feedbacks | |
| dc.type | text |