摘要
广义Birkhoff方程是一类更为普遍的约束力学系统的方程.研究定常广义Birkhoff方程的平衡稳定性.建立平衡方程,给出系统的能量变化方程,根据Birkhoff函数的定号性质,建立平衡稳定性的判据.举例说明结果的应用.
The generalized Birkhoff＇s equations are more general equations of constrained mechanical systems. The stability of equilibrium for generalized Birkhoff equations was addressed. The equations of equilibrium and energy change were established. The criterion of stability of equilibrium was obtained by using the property of definite sign of the Birkhoffian. An example was given to illustrate the application of the result.
出处
《动力学与控制学报》
2010年第4期297-299,共3页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10772025
10932002)~~
关键词
广义Birkhoff方程
平衡方程
能量变化方程
平衡稳定性
generalized Birkhoff equations, equation of equilibrium, equation of energy change, stability of equilibrium
