The paper presents two numerical procedures in the continuous time for the identification of parameters of a class of Hamiltonian systems. Employing the definition of First Integrals and their characteristics, the suggested approach permits to treat the parametric identification process as a stabilization of the derivative of the first integrals. It is realized by two proposed numerical procedures, supported by an super-twist differentiator to have online estimates of the derivatives of the generalized state coordinates and impulses. The convergence of these identification procedures and their implementation in a scalar and vector cases are presented. The numerical examples illustrate a good workability of the suggested method.

本文提出了连续时间的两种数值程序，用于识别一类哈密顿系统的参数。利用第一积分的定义及其特征，建议的方法允许将参数识别过程视为第一积分的导数的稳定化。它是通过两个提议的数值程序实现的，并由超扭转微分器支持，以在线估计广义状态坐标和脉冲的导数。介绍了这些识别程序的收敛及其在标量和矢量情况下的实现。数值示例说明了所建议方法的良好可操作性。