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On pursuit and evasion problems

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Japan-United States Seminar on Ordinary Differential and Functional Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 243))

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References

  1. D. L. Kelendzheridze, "On the Theory of Optimal Pursuit," Soviet Math. Dokl., Vol. 2, pp. 654–656, 1961.

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  2. A. V. Balakrishnan, "On a New Computing Technique in Optimal Control," SIAM J. Control, Vol. 6, No. 2, pp. 149–173, 1968.

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  3. A. V. Balakrishnan, "The Epsilon Technique — A Constructive Approach to Optimal Control," in A. V. Balakrishnan (Ed.), Calculus of Variations and Control Theory, Academic Press, New York, 1969.

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  4. A. F. Filippov, "On Certain Questions in the Theory of Optimal Control," SIAM J. Control, Vol. 1, No. 1, pp. 76–84, 1962.

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  5. H. Hermes, "On the Closure and Convexity of Attainable Sets in Finite and Infinite Dimensions," SIAM J. Control, Vol. 5, No. 3, pp. 409–417, 1967.

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  6. Y. Sakawa, "An Application of the Epsilon Technique to the Solution of Pursuit-Evasion Games," J. of Computer and System Sciences, Vol. 4, No. 6, pp.557–569, 1970.

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  7. B. N. Pshenichniy, "On the Pursuit Problem," Kibernetika, No. 6, pp. 54–64, 1967.

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  8. L. S. Pontryagin, "On the Theory of Differential Games," Uspekhi Mat. Nauk, Vol. 21, pp. 219–274, 1966.

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  9. B. N. Pshenichniy, "Linear Differential Games," Avtomatika i Telemekhanika, No. 1, pp. 65–78, January 1968.

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Minoru Urabe

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© 1971 Springer-Verlag

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Sakawa, Y. (1971). On pursuit and evasion problems. In: Urabe, M. (eds) Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058728

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  • DOI: https://doi.org/10.1007/BFb0058728

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05708-6

  • Online ISBN: 978-3-540-37080-2

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