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Dual Optimization of Dynamic Systems

  • R. Gabasov
  • F. Kirillova
Conference paper
  • 57 Downloads
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 374)

Abstract

Three pairs of adjoint control and observation problems and a pair of adjoint control and identification problems are investigated. On the base of constructive theory of extremal problems created by the authors and their collaborators a method of constructing guaranteeing program optimal solutions using observation and control procedures is set.

Keywords

Extremal Problem Admissible Control Constructive Theory Adjoint Problem Dual Optimization 
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.

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References

  1. 1.
    Kalman R. On General Theory of Control Systems, Proceedings of the 1th IFAC Congress, vol. 2, Moscow, Academy of Sc., 1961, p. 521–547 (in Russian).Google Scholar
  2. 2.
    Krasovskii N.N. The Theory of Controlled Motion, Moscow, Nauka, 1968 (in Russian).Google Scholar
  3. 3.
    Gabasov R., Kirillova F.M. Qualitative Theory of Optimal Processes. Moscow, Nauka, 1971 (in Russian).Google Scholar
  4. 4.
    Kurzanskii A. B. Control and Observation under Conditions of Uncertainty. Moscow, Nauka, 1977 (in Russian).Google Scholar
  5. 5.
    Pontryagin L.S., Boltyanskii V. G., Gamkrelidze R. V., Mishchenko E.F. Mathematical Theory of Optimal Control. Moscow, Physmatgiz, 1961 (in Russian).Google Scholar
  6. 6.
    Lenning J. H., Battin R.G. Random processes in Problems of Automatic Control. Moscow, NIL, 1958 (in Russian).Google Scholar
  7. 7.
    Pugachev V. S. Theory of Random Functions and its Application in Automatic Control Problems. Moscow, Gostechizdat, 1957 (in Russian).Google Scholar
  8. 8.
    Feldbaum A. A. Fundamentals of Theory of Optimal Automatic Systems. Moscow, GIFML, 1963 (in Russian).Google Scholar
  9. 9.
    Simon H.A. Econometrica, 24, 74(1956).Google Scholar
  10. 10.
    Schweppe F.C. Uncertain Dynamic System. Englewood Cliffs: Prentice Hall, 1973.Google Scholar
  11. 11.
    Krasovskii N.N. Control by Dynamic System. Moscow, Nauka, 1977 (in Russian).Google Scholar
  12. 12.
    Chernousko F.L. Estimating of Phase State of Dynamic Systems. Moscow, Nauka, 1988 (in Russian).Google Scholar
  13. 13.
    Gabasov R., Kirillova F.M. Linear Programming Methods. Parts 1–3. Minsk, BGU Press, 1977,1978,1980 (in Russian).Google Scholar
  14. 14.
    Gabasov R., Kirillova F.M., (Tyatyushkin A. I., Kostyukova O. I., Raketskii V. M.) Constructive Methods of Optimization. Parts 1–4. Minsk, University Press, 1984,1986,1988 (in Russian).Google Scholar
  15. 15.
    Gabasov R., Kirillova F. M., Kostyukova O. I., Pokatayev A. V. in: Constructive Theory of Extremal Problems. Minsk, University Press, 1984 (in Russian).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • R. Gabasov
    • 1
  • F. Kirillova
    • 2
  1. 1.Byelorussian State UniversityMinskUSSR
  2. 2.Institute of MathematicsMinskUSSR

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