On the problem of control for ellipsoidal motions

This paper deals with the problem of target control for systems with ellipsoidal-valued trajectories that are allowed to be reconfigured throughout their motion. The solutions are proposed for linear-convex systems and are given both in the open-loop (programmed) form and in the form of closed-loop (feedback) strategies. The techniques are based on methods of nonlinear analysis and the Hamiltonian formalism, including matrix-valued dynamic programming equations for such systems.