Title :
On stability of a class of dynamics of gyroscope system
Author :
Yanxia, Hu ; Fangfang, Li
Author_Institution :
Sch. of Math. & Phys., North China Electr. Power Univ., Beijing
Abstract :
The classical gyroscope system (Euler-Poisson equations) is an important mechanics system, which describes the motion of a heavy rigid body moving around a fixed point. In this paper, the stability of an equilibrium state of gyroscope system is studied by using the energy-Casimir function method. The stability of a class of dynamics of gyroscope system is obtained.
Keywords :
dynamics; gyroscopes; stability; Euler-Poisson equation; classical gyroscope system; energy-Casimir function; equilibrium state; gyroscope system dynamics; heavy rigid body; mechanics system; stability; Control systems; Gravity; Gyroscopes; Integral equations; Jacobian matrices; Lagrangian functions; Mathematics; Navigation; Physics; Stability analysis; Energy-Casimir function method; Generalized Hamiliton system; Gyroscope system; Stability;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605025
