Small-time local controllability and continuity of the optimal time function for linear systems
For a finite-dimensional linear system, in which the control is restricted to belong to a completely arbitrary set J, we give a simple necessary and sufficient condition for small-time local controllability from a point p. The condition is equivalent to a characterization of the property that the Bellman function for the corresponding minimum-time optimal control problem is continuous at p.
scientific article; zbMATH DE number 3961426