An indirect approach to the construction of Langrangians for dissipativelike systems was presented. First, the differential equations of motion were transformed into the selfadjoint equations with transforming the coordinates and time variables. Secondly, a Lagrangian can be computed from the selfadjoint equations of motion. Lastly, the Lagrangian of the given equations was obtained by the inverse transformation of the coordinates and time variables. Two examples were given to illustrate the applications of the results.
丁光涛.利用变量变换构造耗散系统Lagrange函数[J].动力学与控制学报,2012,10(3):199~201; Ding Guangtao. The construction of lagrangians for dissipative like systems by using the transformations of variables[J]. Journal of Dynamics and Control,2012,10(3):199-201.