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Toward a general theory of pursuit and evasion

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Differential Games and Applications

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 3))

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Abstract

This is a brief introduction to several open problems in the following topics of differential games: rôle determinacy, singular surfaces, feedback strategies, games on manifolds, a new type of problem.

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References

  1. Filippov, A. F., Differential equations with discontinuous right-hand sides (in Russian), Mat. Sbornik, 1960.

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  2. Hájek, O., Pursuit Games, Academic Press, 1975.

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  3. Hájek, O., Generalized solutions of ODE (to appear).

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  4. Hájek, O., Inverted paradoxes in optimal control theory, Preprint no. 275, Fachbereich Mathematik, TH Darmstadt, 1976.

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  5. Hermes, H., Discontinuous vector fields and feedback control (in Proc. of Puerto Rico Symposium; eds., J. P. LaSalle and J. Hale), Academic Press, 1967.

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  6. Isaacs, R., Differential Games, Wiley, 1967.

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  7. Krasovskij, N.N., and Subbotin, A. I., Positional Differential Games (in Russian), Izd. Nauka, 1974.

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  8. Yano, K., and Ishihara, S., Differential Geometry of Tangent and Cotangent Bundles, Dekker, 1973.

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  9. Leitmann, G., A note on optimal open-loop and closed-loop control.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Case Western Reserve University, 44106, Cleveland, OH, U.S.A.

    Otomar Hájek

Authors
  1. Otomar Hájek
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P. Hagedorn H. W. Knobloch G. J. Olsder

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© 1977 Springer-Verlag

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Hájek, O. (1977). Toward a general theory of pursuit and evasion. In: Hagedorn, P., Knobloch, H.W., Olsder, G.J. (eds) Differential Games and Applications. Lecture Notes in Control and Information Sciences, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0009068

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  • DOI: https://doi.org/10.1007/BFb0009068

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08407-5

  • Online ISBN: 978-3-540-37179-3

  • eBook Packages: Springer Book Archive

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