Literature Cited
A. I. Panasyuk and V. I. Panasyuk, Asymptotic Optimization of Nonlinear Control Systems [in Russian], Belorussian State Univ., Minsk (1977).
A. I. Panasyuk, V. I. Panasyuk, and É. D. Polityko, “Determination of optimal control using the attainable sets construction,” in: 24 Int. Wiss. Koll., TH Ilmenau, DDR, Heft 1, VA 1 (1979), pp. 139–142.
F. L. Chernous'ko, “Optimal estimates of indeterminacies with the aid of ellipsoids. I,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3, 3–11 (1980).
A. I. Panasyuk and V. I. Panasyuk, “On an equation generated by a differential inclusion,” Mat. Zametki,27, No. 3, 429–437 (1980).
A. I. Panasyuk, “The equations of reachability sets and their applications to optimal control problems,” Avtomat. Telemekh., No. 5, 67–78 (1982).
É. D. Polityko, A. I. Panasyuk, and V. I. Panasyuk, “A new method for the computations of the optimal frequency control of an asynchronous electric motor, taking into account the electromagnetic processes,” Izv. Vyssh. Uchebn. Zaved., Elektromekh., No. 4, 435–438 (1981).
A. I. Panasyuk, “Reachability set differential equation and optimal control problem,” in: Mathematische Optimierung-Theorie und Anwendungen. Internationale Tagung, Wartburg/Eisenach, DDR (1981), pp. 115–118.
R. T. Rockafellar, Convex Analysis, Princeton Univ. Press (1970).
R. Gabasov and F. M. Kirillova, The Foundations of Dynamical Programming [in Russian], Belorussian State Univ., Minsk (1975).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 143–154, July–August, 1984.
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Panasyuk, A.I. Equation of the reachability sets. Sib Math J 25, 626–636 (1984). https://doi.org/10.1007/BF00968901
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DOI: https://doi.org/10.1007/BF00968901