力学系统状态空间的探讨

Discussion on the State Space of Mechanical System

讨论牛顿力学和分析力学中系统状态空间,提出Birkhoff力学中变量是广义的状态变量;列出几种特殊的状态空间;对状态空间中运动微分方程进行分类,并在力学中引入状态方程概念.

The state space of mechanical systems in Newtonian mechanics and anatytical mechanics are restudied.It points that the variables in Birkhoffian mechanics are the generalized state variables.Some special state spaces are presented.The motion differential equations in the state spaces are classified,and the concept of the state equation is introduced into mechanics.