@article {2007,
title = {Nearly time optimal stabilizing patchy feedbacks},
journal = {Ann. Inst. H. Poincare Anal. Non Lineaire 24 (2007) 279-310},
number = {arXiv.org;math/0512531v1},
year = {2007},
abstract = {We consider the time optimal stabilization problem for a nonlinear control system $\\\\dot x=f(x,u)$. Let $\\\\tau(y)$ 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 $\\\\tau(y)\\\\leq T$. 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 $\\\\tau(y)+\\\\ve$.},
doi = {10.1016/j.anihpc.2006.03.010},
url = {http://hdl.handle.net/1963/2185},
author = {Fabio Ancona and Alberto Bressan}
}