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Literature Cited
V. M. Popov, Hyperstability of Automatic Systems [in Russian], Nauka, Moscow (1970).
N. N. Krasovskii, Theory of Control by Motion [in Russian], Nauka, Moscow (1968).
A. Athans and P. Falb, Optimal Controls, McGraw-Hill, New York (1966).
A. M. Letov, “Analytical controller design. I–III,” Avtomat. i Telemekhan.,21, No. 4–6, 436–441, 561–568, 661–664 (1960).
A. M. Letov, “Analytical controller design. IV,” ibid.,22, No. 4, 425–435 (1961).
A. M. Letov, “On the analytical controller design. V,” ibid.,23, No. 11, 1405–1413 (1962).
R. E. Kalman, Contributions to the Theory of Optimal Control, Proc. Soc. Mat., Mexicana (1960), pp. 102–119.
R. E. Kalman, “When is a linear control system optimal?“ Transactions of the American Society of Mechanical Engineers, Translation Series D, No. 1, 69–83 (1964).
I. F. Krasichkov-Ternovskii and Ya. I. Khurgin, “Optimal finite control with a quadratic quality criterion,” Avtomat. i Telemekhan., No. 9, 43–52 (1968).
V. A. Yakubovich, “On the synthesis of optimal controls in a linear differential game with a quadratic payment functional” Dokl. Akad. Nauk SSSR,200, No. 3, 548–551 (1971).
V. A. Andreev, Yu. F. Kazarinov, and V. A. Yakubovich, “Synthesis of optimal controls for linear inhomogeneous systems in problems of the minimization of quadratic functionals,” ibid.199, No. 2, 258–261 (1971).
V. A. Yakubovich, “Frequency theorem in control theory,” Sib. Matem. Zh.,14, No. 2, 384–420 (1973).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 3, pp. 660–665, May–June, 1973.
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Andreev, V.A., Plyako, D.A. A problem of optimal control by a linear inhomogeneous system. Sib Math J 14, 459–462 (1973). https://doi.org/10.1007/BF00967623
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DOI: https://doi.org/10.1007/BF00967623