Abstract
Controllability and observability conditions are derived for a three-mass oscillatory system with nested masses. Modal controllers and observers are constructed that take the system to a prescribed spectral region. Cases are considered when the state vector function or a linear combination of its components is observed.
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References
I. M. Babakov, Oscillation Theory [in Russian], Moscow (1965).
N. F. Kirichenko, An Introduction to the Theory of Stabilization of Motion [in Russian], Kiev (1978).
Additional information
Kiev University. Tadzhik University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 103–107, 1991.
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Stoyan, V.A., Abduzhabborov, A. Controllability and observability of one-dimensional oscillations of mechanical systems with nested masses. J Math Sci 72, 3133–3136 (1994). https://doi.org/10.1007/BF01259485
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DOI: https://doi.org/10.1007/BF01259485