Nearly Time Optimal Stabilizing Patchy Feedbacks
نویسندگان
چکیده
We consider the time optimal stabilization problem for a nonlinear control system ẋ = f(x, u). Let τ(y) be the minimum time needed to steer the system from the state y ∈ R to the origin, and call A(T ) the set of initial states that can be steered to the origin in time τ(y) ≤ T . Given any ε > 0, in this paper we construct a patchy feedback u = U(x) such that every solution of ẋ = f(x, U(x)), x(0) = y ∈ A(T ) reaches an ε-neighborhood of the origin within time τ(y) + ε.
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تاریخ انتشار 2005