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The method of characteristics for constructing singular paths and manifolds in optimal control and differential games

  • 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))

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References

  1. Melikyan A.A. The necessary conditions of optimality on the surface of discontinuity of one type in differential game. Izvestiya AN SSSR. Tekhnicheskaya kibernetika. 1981., N 4, pp. 10–18 (in Russian).

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  2. Melikyan A.A. A positional method of analysis of singular motions in extremal problems of dynamics. Doklady AN SSSR. 1990, v. 311, N 1, pp. 22–27 (in Russian).

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  3. Vyshnevetskiy L.S., Melikyan A.A. Optimal pursue on a plane in the presence of obstacle. Prikladnaya matematika y mechanika. 1982, v. 46, N 4, pp. 613–620 (in Russian).

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  4. Melikyan A.A., Ovakimyan N.V. Game problem of simple pursue on manifolds with nonunique extremal motion. Prikladnaya matematika y mechanika. 1991, v. 55, N 1 (in Russian).

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Authors and Affiliations

  1. The Institute for Problems in Mechanics, USSR Academy of Sciences, prospect Vernadskogo, 101, 117526, Moscow, USSR

    Arik A. Melikyan

Authors
  1. Arik A. Melikyan
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Raimo Pertti Hämäläinen Harri Kalevi Ehtamo

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© 1991 Springer-Verlag

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Melikyan, A.A. (1991). The method of characteristics for constructing singular paths and manifolds in optimal control and differential games. 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/BFb0040229

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  • DOI: https://doi.org/10.1007/BFb0040229

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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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