It has been established by now that the problem of the absolute stability originates from a paper of B.V. Bulgakov published in 1942. The engineering application generating the problem was the so called gyroscopic pendulum, with various applications in stabilization of ships, aircrafts or armored cars. Even if nowadays the technical implementation of this device might be completely different, t...

The maintenance of large-scale differential rotation in stellar convective regions by rotationally influenced convective stresses also drives large-scale meridional flows by angular– momentum conservation. This process is an example of “gyroscopic pumping”, and has recently been studied in detail in the solar context. An important question concerns the extent to which these gyroscopically pumpe...

A model for the dynamics of a four rotor vertical take-off and landing (VTOL) vehicle known as an X4-flyer is proposed. The model incorporates the airframe and motor dynamics as well as aerodynamic and gyroscopic effects due to the rotors for quasi-stationary flight conditions. A novel control strategy is proposed for configuration stabilization of quasi-stationary flight conditions. The approa...

In the paper authors investigate dynamics of a controlled quadcopter in terms possibility its use for detection, observation, tracking and laser illuminating both stationary moving ground targets conditions impact random kinematic excitations. The drone is equipped with scanning Gyroscopic Head (GH) coupled target indicator. affected by disturbances form wind gusts or explosions missiles. Kinem...

Motivated by the design of a future autonomous, decentralized air traffic management system for runway-independent aircraft, a biologically-inspired reactive collision avoidance algorithm is developed for a simple model of managing multiple vehicle systems. Techniques using gyroscopic forces and scalar potentials result in all vehicles arriving at their destinations within a reasonable time, wi...

The stability of positioning is one of the most important characteristics in ywheel energy storage systems with high-temperature superconducting (HTSC) magnetic bearing . In this paper, we experimentally discuss the drift of the levitation gap in the ywheel system under the revolution. When the revolution speed of the ywheel rotor passes through the mechanical resonant frequencies, the dynamics...

Damping injection is a well-studied tool in nonlinear control theory to stabilize and shape the transient of mechanical systems. Interestingly, coupled damping yielding gyroscopic forces has received far less attention. This paper aims fill this gap for that couple actuated unactuated coordinates. First, we establish sufficient conditions stability closed loop. Then, provide analytic results pr...