摘要
研究变分法逆问题中变积概念及其计算方法.由变积直接构造的是与加速度相关的Lagrange函数,再通过规范变换可以得到位形空间中的Lagrange函数.这表明这种构造Lagrange函数的方法与Engels方法一致.
The concept and the calculation of variational integral in the inverse problem of variational calculus are studied. What is constructed by variational integral directly is the acceleration-dependent Lagrangian, which can be transformed into the Lagrangian in configuration space by the use of gauge transformation. It is indicated that the method to construct the Lagrangian is consistent with Engels′ method.
出处
《动力学与控制学报》
2016年第6期492-495,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11472063)~~
关键词
变分法
逆问题
LAGRANGE函数
变积
Engels方法
calculus of variations, inverse problem, Lagrangian function, variational integral, Engels＇method
