弱非完整系统的梯度表示和分数维梯度表示

摘要

A gradient representation and a fractional gradient representation of a weakly nonholonomic system are studied.The differential equations of motion of the system are expressed in the canonical coordinates.A condition under which the system can be considered as a gradient system is given.A condition under which the system can be considered as a fractional gradient system is obtained.An example is given to illustrate the application of the result.%研究弱非完整系统的梯度表示和分数维梯度表示.建立系统运动微分方程并在正则坐标下表出.给出系统成为梯度系统以及成为分数维梯度系统的条件,并举例说明结果的应用.