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

  • Koichi Mizukami
  • Volker Tews
Differential Games
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)


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. [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.Google Scholar
  2. [2]
    K.Mizukami: “A Pursuit-Evasion-Game with periodically observed State Information”; Submitted to the Journal of the Franklin Institute.Google Scholar
  3. [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).Google Scholar
  4. [4]
    V.Tews: “State-Estimation in a Pursuit-Evasion-Game with Incomplete Information-Exchange”; Hiroshima, 1979 (not published).Google Scholar
  5. [5]
    D.G. Luenberger: “An Introduction to Observers”; IEEE Transactions on Automatic Control, Vol. AC-16, No. 6, Dec. 1977, pp. 596–602.Google Scholar
  6. [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.Google Scholar
  7. [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.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Koichi Mizukami
    • 1
  • Volker Tews
    • 2
  1. 1.Department of Information and Behavioral SciencesUniversity of HiroshimaJapan
  2. 2.Institute of Control EngineeringUniversity of HannoverFRG

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