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The problem of pursuit by several objects

  • Pursuit-Evasion Problems And Aerospace Applications
  • Conference paper
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Differential Games — Developments in Modelling and Computation

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 156))

Abstract

We consider a linear differential game with a group of pursuers and a single evader. Sufficient condition for the solvability of the pursuit problem are obtained for the case when there are three kinds of players in the pursuers group: those with equal, those with poorer and those with greater dynamic capability than the evader, for the case when the pursuers are inferior to the evader in control resources, and for the case when there are players in the pursuers group with greater inertia then the evader. The methods can be applied to a large class of linear nonstationary and nonlinear game.

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References

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Authors and Affiliations

  1. Optimal Control Department Faculty of Cybernetics & Computational Mathematics, M.V.Lomonosov Moscow State University MSU, Faculty VMK, Leninskye Gory, 119899, Moscow, USSR

    Nikolai L. Grigorenko

Authors
  1. Nikolai L. Grigorenko
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Editor information

Raimo Pertti Hämäläinen Harri Kalevi Ehtamo

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© 1991 Springer-Verlag

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Grigorenko, N.L. (1991). The problem of pursuit by several objects. In: Hämäläinen, R.P., Ehtamo, H.K. (eds) Differential Games — Developments in Modelling and Computation. Lecture Notes in Control and Information Sciences, vol 156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0040228

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  • DOI: https://doi.org/10.1007/BFb0040228

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53787-8

  • Online ISBN: 978-3-540-47105-9

  • eBook Packages: Springer Book Archive

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