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Set valued solutions to control problems and their approximations

Adaptive Control

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS,volume 111)

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References

  1. Krasovskii, N.N. The Control of a Dynamic System, Nauka, Moscow, 1986.

    Google Scholar 

  2. Pontriagin, L.S. Linear Differential Games of Pursuit, Mat. Sbornik, 112 (154) No. 3(7), 1980.

    Google Scholar 

  3. Krasovskii, N.N. and Subbotin, A.I. Positional Differential Games, Nauka, Moscow, 1976.

    Google Scholar 

  4. Varaiya, P. On the Existence of Solutions to a Differential Game, Siam J. Control, 5, No. 1, 1967.

    Google Scholar 

  5. Friedman, A. Differential Games, New York, Wiley, 1971.

    Google Scholar 

  6. Schweppe, F.C. Uncertain Dynamic Systems, Prentice Hall Inc., Englewood Cliffs, N.J., 1973.

    Google Scholar 

  7. Kurzhanski, A.B. Control and Observation Under Uncertainty Conditions, Nauka, Moscow, 1978.

    Google Scholar 

  8. Kurzhanski, A.B., Nikonov, O.I. On Adaptive Processes of Guaranteed Control, Izvestia Akad. Nauk SSSR, Engineering Cybernetics, No.4, 1986.

    Google Scholar 

  9. Aubin, J.-P., Cellina, A. Differential Inclusions, Springer Verlag, Heidelberg, 1984.

    Google Scholar 

  10. Leitman, G., Corless, M. Adaptive Control for Uncertain Dynamical Systems, Dynamic Systems and Microphysics, Control Theory and Mechanics, Acad. Press. Inc., 1984.

    Google Scholar 

  11. Kurzhanski, A.B. Set Valued Calculus in Problems of Adaptive Control in: Kurzhanski, Byrnes Eds. Modelling and Adaptive Control, Proc. Conf. Sopron, Hungary, Lecture Notes in Control and Information Systems, Vol. 105., Springer Verlag, 1988.

    Google Scholar 

  12. Vályi, I. Ellipsoidal Approximation in Problems of Control, in: Kurzhanski, Byrnes Eds. Modelling and Adaptive Control, Proc. Conf. Sopron, Hungary, Lecture Notes in Control and Information Systems, Vol. 105., Springer Verlag, 1988.

    Google Scholar 

  13. Kurzhanski, A.B. and Filippova, T.F. On the Analytical Description of the Set of Viable Solutions of a Control System, Differencialniye Uravneniya (Differential Equations), No.8, 1987.

    Google Scholar 

  14. Kurzhanski, A.B. On the Analytical Description of the Pencil of Viable Trajectories of a Differential System, Sov. Math. Doklady, Vol.33, No.2, 1986

    Google Scholar 

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A. Bensoussan J. L. Lions

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© 1988 Springer-Verlag

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Kurzhanski, A.B., Vályi, I. (1988). Set valued solutions to control problems and their approximations. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042263

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  • DOI: https://doi.org/10.1007/BFb0042263

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19237-4

  • Online ISBN: 978-3-540-39161-6

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