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Optimization Techniques pp 241–250Cite as

State-estimation in a pursuit-evasion-game with incomplete information-exchange

  • Differential Games
  • Conference paper
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 22))

Abstract

Treated is a class of pursuit-evasion-games with incomplete information-exchange. After describing the game optimal strategies for several information-patterns are given based on a geometrical approach. Then attention is focussed on a game in which some of the opponent's statevariables and his strategy are unknown. The player-system is approximated by another system to which observer-theory can be applied. Observability is discussed and several conditions for complete observability of the approximated system are given.

The practical application of the theory stated above is shown on a numerical example. Quality of the observation and the influence of the observation-error on the termination of the game are discussed.

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10. References

  1. K. Mizukami, K. Eguchi: “A Geometrical Approach to Problems of Pursuit-Evasion-Games”; The Journal of the Franklin Institute, Vol. 303, No. 4, 1977, pp. 371–384.

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  2. K.Mizukami: “A Pursuit-Evasion-Game with periodically observed State Information”; Submitted to the Journal of the Franklin Institute.

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  3. N.Iwata: “Study on Pursuit-Evasion-Games with State-Estimation-Techniques”; Graduation-thesis at the Faculty for Integrated Arts and Sciences, University of Hiroshima, 1977 (in Japanese).

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  4. V.Tews: “State-Estimation in a Pursuit-Evasion-Game with Incomplete Information-Exchange”; Hiroshima, 1979 (not published).

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  5. D.G. Luenberger: “An Introduction to Observers”; IEEE Transactions on Automatic Control, Vol. AC-16, No. 6, Dec. 1977, pp. 596–602.

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  6. P.C. Young, J.C. Willems: “An Approach to the Linear Multivariable Servomechanism Problem”; Int. J. Control 1972, Vol. 15, No. 5, pp. 961–979.

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  7. J.S. Meditch, G.H. Hostetter: “Observers for Systems with Unknown and Inaccessible Inputs” Int. J. Control 1974, Vol. 19, No. 3, pp. 473–480.

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Author information

Authors and Affiliations

  1. Department of Information and Behavioral Sciences, University of Hiroshima, Japan

    Koichi Mizukami

  2. Institute of Control Engineering, University of Hannover, FRG

    Volker Tews

Authors
  1. Koichi Mizukami
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  2. Volker Tews
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Editor information

K. Iracki K. Malanowski S. Walukiewicz

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© 1980 Springer-Verlag

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Mizukami, K., Tews, V. (1980). State-estimation in a pursuit-evasion-game with incomplete information-exchange. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036399

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  • DOI: https://doi.org/10.1007/BFb0036399

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10080-5

  • Online ISBN: 978-3-540-38248-5

  • eBook Packages: Springer Book Archive

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