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Simplification of dual extremal problems invariant with respect to change in variables

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Literature cited

  1. V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  2. B. N. Pshenichnyi, Necessary Conditions for Extremum [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  3. H. Ikaido, Convex Structures and Economic Theory, Academic Press, New York (1968).

    Google Scholar 

  4. Yu. Sh. Abramov, Variational Methods in the Theory of Operator Bundles. Spectral Optimization [in Russian], Leningrad Univ. Press, Leningrad (1983).

    Google Scholar 

  5. A. L. Fradkov, “The duality theorem in some nonconvex extremal problems,” Sib. Mat. Zh.,14, No. 2, 357–383 (1973).

    Google Scholar 

  6. V. N. Solov'ev, “Duality of some nonconvex extremal problems,” Zh. Vychisl. Mat. Mat. Fiz.,27, No. 3, 459–463 (1987).

    Google Scholar 

  7. V. N. Solov'ev, “Invariant transformations of dual extremal problems,” in: Matematicheskie Metody Upravleniya i Obrabotki Informatskii [in Russian], Mat. Fiz. Tekh. Izd., Moscow (1986), pp. 94–97.

    Google Scholar 

  8. V. N. Solov'eVj “An analog of a Noether theorem in Lyapunov problems,” in: Vsesoyuznaya Shkola: Optimal'noe Upravlenie. Geometri i Analiz [in Russian], Kemerovo (1986), p. 42.

  9. V. N. Solov'ev, “Utilization of symmetry in smooth extremal problems,” Tr. Mat. Inst. Akad. Nauk USSR,185, 236–241 (1988).

    Google Scholar 

  10. B. Ts. Bakhshiyan, R. R. Nazirov, and P. E. El'yasberg, Determination and Correction of Motions [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  11. W. Heine and J. V. Breakwell, “Symmetric minimum-impulse rendezvous between certain non-coplanar orbits,” in: Lecture Notes, Math.,132, Springer-Verlag, New York (1970), pp. 130–150.

    Google Scholar 

  12. I. L. Legostaeva and A. N. Shiryaev, “Minimax weights in the problem of isolating the trend of a random process,” Teor. Veroyatn. Primen.,16, No. 2, 339–345 (1971).

    Google Scholar 

  13. V. N. Solov'ev, “Algorithms for solving some problems of quadratic programming and optimal guaranteed estimation,” Avtom. Telemekh., No. 9, 67–73 (1990).

    Google Scholar 

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  1. V. N. Solov'ev
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Translated from Matematicheskie Zametki, Vol. 5, No. 5, pp. 104–109, May, 1991.

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Solov'ev, V.N. Simplification of dual extremal problems invariant with respect to change in variables. Mathematical Notes of the Academy of Sciences of the USSR 49, 514–518 (1991). https://doi.org/10.1007/BF01142649

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