The paper studies controllability problems for the reachable set of a differential inclusion. These were originally motivated by models of control of a flock of animals. Conditions are derived for the existence or nonexistence of a strategy which confines the reachable set within a given bounded region, at all sufficiently large times. Steering problems and the asymptotic shape of the reachable set are also investigated.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Numerical Analysis
- Geometry and Topology
- Applied Mathematics