About stabilization and control of a rotation of a rigid body

In this paper the problems of optimum stabilization and optimum traffic control of rigid body rotating around a motionless point with the help of flywheels is solved. It is shown, that the system is not quite controlled only by gyroscopic forces. The dissipative forces arising from the rotation of flywheels are added to the system. Linear systems are considered and for them optimum stabilizing and controlling operations are found.