Identification of dynamic characteristics of the machine suspension materials is required for troubleshooting and improving the ride quality. The method of identifying the suspension materials characteristics, based on the application of needle-shaped variation of the L.S. Pontryagin dynamical system to the invariant features of the dynamic system actual movement is presented in this study. The use of the needle-shaped parameters variation to the Hamilton-Ostrogradskyi action integral gives a condition of the objective functional minimum in the form of the maximum principle with the exception of the consideration of the vector of conjugate variables. As a result, the computational costs are reduced, the task of identification and optimization is simplified the convergence and accuracy of the algorithms is improved [1-5],
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