一阶Lagrange系统的梯度表示

A gradient representation of first-order Lagrange system

研究一阶Lagrange系统的梯度表示.给出一阶Lagrange系统可成为梯度系统的条件.利用梯度系统的性质研究系统的稳定性.给出例子说明结果的应用.

A gradient representation of the first-order Lagrange system is studied. A condition under which the first-order Lagrange system can be considered as a gradient system is obtained. The stability of the system is discussed by using the property of the gradient system. Some examples are given to illustrate the application of the result.