Abstract
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.
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 95–100, 1986.
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Stoyan, V.A. Vibrations of mechanical systems in the presence of uncertainty. J Math Sci 58, 466–469 (1992). https://doi.org/10.1007/BF01100076
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DOI: https://doi.org/10.1007/BF01100076