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.
All Science Journal Classification (ASJC) codes
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics
- Local controllability
- linear systems
- time-optimal control