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On the existence of optimal controls

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Abstract

Using a recent result due to Berkovitz, we prove the existence of an optimal control in a broad class of problems, under relatively mild conditions.

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References

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Communicated by L. D. Berkovitz

This research was supported by the National Research Council of Canada under Grant No. A-7790.

The author gratefully acknowledges several useful discussions with Professor A. Boyarsky.

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Vidyasagar, M. On the existence of optimal controls. J Optim Theory Appl 17, 273–278 (1975). https://doi.org/10.1007/BF00933880

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  • DOI: https://doi.org/10.1007/BF00933880

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