Mathematical models of mechanical systems in the form of ordinary differential equations are discussed. A model is non-stationary robust: instead of some parameters there may be quite arbitrary functions of independent time variable. This uncertainty brings these systems to controlled objects and allows applying various methods of control theory. A linear oscillator with a perturbation of frequency and external influence is considered as an example. Methods of control theory of a differential model of the oscillator is replaced by the finite one. Calculation of symmetries of a mathematical model is also discussed.
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