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Composition problem for differential games

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Abstract

The task of finding a relationship between optimal control problems and differential games is considered. Two classes of differential games are shown to have the property that their solution, the value function, can be constructed from solutions to associated one-player optimal control problems.

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References

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Authors and Affiliations

  1. Frank J. Seiler Research Laboratory (OAR), USAF Academy, Colorado

    Michael D. Ciletti (Research Associate)

Authors
  1. Michael D. Ciletti
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Communicated by G. Leitmann

This work was partially supported under NSF Grant No. GK 355 at the Department of Electrical Engineering, University of Notre Dame, South Bend, Indiana. The author wishes to express his gratitude to Professor Celso de Renna e Souza for the motivation and guidance received throughout the work which led to this paper.

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Ciletti, M.D. Composition problem for differential games. J Optim Theory Appl 3, 107–114 (1969). https://doi.org/10.1007/BF00932461

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  • DOI: https://doi.org/10.1007/BF00932461

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