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Duality for differential games and optimal control

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  1. [1]

    R. W. Brockett, System theory on group manifolds and coset spaces,SIAM J. Control 10 (1972), 265–284.

  2. [2]

    O. Hájek, A relation between pursuit games and time-optimal control (unpublished), NSF Regional Conference on Control Theory, Univ. of Maryland, Baltimore County, 1971.

  3. [3]

    O. Hájek, Cores of targets in linear control systems, to appear.

  4. [4]

    H. Hermes andJ. P. LaSalle,Functional Analysis and Time Optimal Control, Academic Press, New York, 1969.

  5. [5]

    V. Jurdjevic andH. Sussmann, Controllability of nonlinear systems,J. Differential Equations, to appear.

  6. [6]

    L. S. Pontrjagin, On linear differential games 2,Dokl. Akad. Nauk SSSR 4 (175 (1967), 910–912.

  7. [7]

    E. O. Roxin, Some global problems in differential games,Global Differentiable Dynamics (Ed. O. Hájek, A. J. Lohwater, R. McCann), Lecture Notes in Mathematics no. 235, Springer-Verlag, 1971, pp. 103–116.

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Hájek, O. Duality for differential games and optimal control. Math. Systems Theory 8, 1–7 (1974). https://doi.org/10.1007/BF01761702

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  • Computational Mathematic
  • Differential Game