Literature Cited
B. N. Pshenichnyi, Convex Analysis and Extremal Problems [in Russian], Nauka, Moscow (1981).
A. Ya. Dubovskii and A. A. Milyutin, “Extremum problems under constraints,” Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3, 395–453 (1965).
B. Sh. Mordukhovich, “Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems,” Dokl. Akad. Nauk SSSR,25, No. 5, 1072–1076 (1980).
F. H. Clarke, “Generalized gradients and applications,” Trans. Am. Math. Soc.,205, 247–262 (1975).
J. Warga, Optimal Control of differential and Functional Equations, Academic Press, New York (1972).
V. G. Boltyanskii, “The method of tents in the theory of extremal problems,” Usp. Mat. Nauk,33, No. 3, 3–55 (1976).
A. Ya. Kruger and B. Sh. Mordukhovich, “Extremal points and Euler's equation in nonsmooth optimization problems,” Dokl. Akad. Nauk BSSR,24, No. 8, 684–687 (1980).
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Translated from Kibernetika, No. 3, pp. 66–71, May–June, 1985.
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Khachatryan, R.A. Necessary conditions for an extremum in nonsmooth optimal control problems with discrete time. Cybern Syst Anal 21, 356–363 (1985). https://doi.org/10.1007/BF01078831
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DOI: https://doi.org/10.1007/BF01078831