Vibrations of mechanical systems in the presence of uncertainty

The minimax state estimation problem is solved for a linear mechanical system with a finite number of degrees of freedom. The proposed procedure is extended to distributed-parameter systems. As an example, we consider an elastic rod that executes small longitudinal oscillations under uncertainty in the initial-boundary conditions.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 95–100, 1986.