Building stabilizing control for stationary motions of a gyrostat with a cavity viscous fluid

Spherical motion relative to the center of mass of the free single rotor gyrostat with a spherical cavity is entirely filled with a fluid of high viscosity are researched. Equations of motion are found and investigated the stability of stationary motion. The set of controls on the basis of feedback which stabilize unstable and stable stationary motion of gyrostat to asymptotically stable, are constructed.