Sufficient conditions for absolute minimum of the maximal functional in the multi — Criterial problem of optimal control

  • V. V. Velichenko
Optimal Control
Part of the Lecture Notes in Computer Science book series (LNCS, volume 27)


Admissible Control Exact Formula Absolute Minimum Minimax Problem Sufficient Optimality Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    R.Bellman, "Dynamic Programming", N.Y., 1957.Google Scholar
  2. 2.
    R.Bellman, "Adaptive Control Processes: a Guided Tour", N.Y., 1961.Google Scholar
  3. 3.
    A.Ya.Dubovitsky, A.A.Milutin, Zh. Vychisl.Mat. i Mat.Fiz., v.5, N 3, 1965.Google Scholar
  4. 4.
    V.F.Demianov, Vestnik Leningradskogo Univers., N 7, 1966.Google Scholar
  5. 5.
    I.V.Girsanov, "Lectures on the Mathematical Theory of the Extremal Problems", M., 1970 (Russian).Google Scholar
  6. 6.
    V.F.Demianov, V.N.Malozemov, "Introduction into Minimax",M., 1972 (Russian).Google Scholar
  7. 7.
    T.K.Vinogradova, V.F.Demianov, Dokl. Akad. Nauk SSSR, v.213, N 3, 1973.Google Scholar
  8. 8.
    —, Zh. Vychisl. Mat. i Mat. Fiz., v.14, N 1, 1974.Google Scholar
  9. 9.
    V.V.Velichenko, "Numerical method for solving the optimal control problems", dissertation, M., 1966.Google Scholar
  10. 10.
    —, Kosmicheskie Issledov., v. X, N 5, 1972.Google Scholar
  11. 11.
    L.S.Pontrjagin, V.G.Boltjanskii, R.V.Gamkrelidze, E.F.Mishenko, "The Mathematical Theory of Optimal Processes", N.Y., 1962.Google Scholar
  12. 12.
    V.V.Velichenko, Zh. Vychisl. Mat. i Mat. Fiz., v. 14, N 1, 1974.Google Scholar
  13. 13.
    G.A.Bliss, "Lectures on the Calculus of Variations", M., 1950.Google Scholar
  14. 14.
    V.V.Velichenko, Dokl. Akad. Nauk SSSR, v. 174, N 5, 1967.Google Scholar
  15. 15.
    —, Issledovanie Operatsii, Comp.Cent.Akad.Nauk SSSR, N4, 1974.Google Scholar
  16. 16.
    L.I.Rozonoer, Avtomat. i Telemech., v.20, N 10, 1959.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • V. V. Velichenko
    • 1
  1. 1.Moscow Phisico-Technical InstituteMoscowUSSR

Personalised recommendations