Optimal control of ellipsoidal motions
Alexander B. Kurzhanski, Aleksei I. Mesyats · Differential Equations · 2012
We study the target control problem for systems with ellipsoid-valued trajectories admitting reconfiguration of the ellipsoids in the course of motion. We present solutions for linear-convex systems in the class of positional (synthesized) controls under integral-quadratic motion performance criteria. We use Hamiltonian formalism methods, including the dynamic programming equations for such systems.