Abstract
We consider a dynamical system under the control of two agents, one of whom desires to keep the system's state out of a given set regardless of the other agent's actions. The guaranteed avoidance conditions of Ref. 1 are generalized to admit piecewiseC 1 test functions; this generalization permits application to a wider class of problems. The results are illustrated by application to a version of the homicidal chauffeur game.
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Dedicated to R. Bellman
This paper is based on research supported by NSF under Grant No. ENG-78-13931.
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Leitmann, G. Guaranteed avoidance strategies. J Optim Theory Appl 32, 569–576 (1980). https://doi.org/10.1007/BF00934040
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DOI: https://doi.org/10.1007/BF00934040