On the weak control of slowly damped systems : PMM vol. 42, no. 6, 1978. pp. 1000–1005 |
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Authors: | V. B. Larin |
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Affiliation: | , Kiev, U.S.S.R. |
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Abstract: | Asymptotic formulas are obtained which make it possible to derive the first approximation solution of the Riccati matrix algebraic equation of special form. Method is based on Bass' formulas [1] and the theory of perturbations [2], The problem of control of a slowly damped oscillator is investigated in detail. Formulation of the problem in this paper differs substantially from that in [3] (no assumption is made about single-frequency oscillations, and only a stationary system is considered over an infinite time interval). |
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