带有伺服约束的非完整系统Mei对称性和Lie对称性

Mei Symmetries and Lie Symmetries for Nonholonomic Systems with Servoconstraints

利用代数方程和微分方程在无限小变换下的不变性,研究带有伺服约束的非完整系统的Mei对称性和Lie对称性,给出Mei对称性的判据方程和结构方程及系统同时是Mei对称性和Lie对称性的定理,得到守恒量的具体形式.

Using the invariance of differential eguation the under infinitesimal transformation, this paper concentrates on studying the Mei symmetries and Lie symmetries for Nonholonomic systems with servoconstraints. The criterions and the structure equations of the Mei symmetry are given. The theorem that the system are both Mei symmetries and Lie symmetries are obtained. The form of the conserved quantities is given.