On the reconstruction of the trajectory and control in a nonlinear second-order system

We consider problems of the dynamic reconstruction of unknown characteristics in a nonlinear second-order system. A dynamic variant of solving these problems is proposed. More exactly, it is assumed that the numerical solution process depends on variable (and incomplete) information on the parameters of the system. Resolving algorithms are based on the method of auxiliary models. The algorithms are stepwise; they work on finite time grids and find successive approximations to the required solution taking into account the current information on the parameters of the system.