In this paper, the Lagrangians familiy in mechamics was studied. Based on the direct approach to the construction of Lagrangian from first integral, the structure of a class of families Lagrangians was presented. The existence conditions and the direct constuction method of this class of families were obtained. Two examples were given to illustrate the application of the results.
丁光涛.关于一类Lagrange函数族的存在条件[J].动力学与控制学报,2011,9(3):219~221; Ding Guangtao. On the existence conditions for a class of the lagrangians families[J]. Journal of Dynamics and Control,2011,9(3):219-221.
