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On the perturbations in a time-optimal closed-loop system. (English) Zbl 0699.49031

The following system of differential equations \[ \dot x=y,\quad x(0)=x_ 0,\quad \dot y=\begin{cases} f^+(y), &\quad (x,y)\in G^+\\ f^- (y), &\quad (x,y)\in G^- \end{cases},\quad y(0)=y_ 0 \] is considered. Theorems concerning the dependence of solutions on regular perturbations are given.
Reviewer: T.Tadumadze

MSC:

49K40 Sensitivity, stability, well-posedness
93B05 Controllability
93C15 Control/observation systems governed by ordinary differential equations
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