Abstract
We display a class of control systems in the plane for which it is generically true that the set attainable from any point in the plane is a closed Whitney prestratified set. That is, even if the attainable set of some given system is not closed, we can approximate the system as closely as we wish by another system whose attainable sets are closed.
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Communicated by R. Conti
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Rebhuhn, D. On the closure of sets of attainability in ℝ2 . J Optim Theory Appl 20, 439–454 (1976). https://doi.org/10.1007/BF00933130
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DOI: https://doi.org/10.1007/BF00933130