Abstract
The article is dedicated to local investigation of mappings of type “entry-exit” of smooth controlled systems. The homological theory of quadratic mappings and the geometry of the Lagrange Grassmannian are used for the study of sets of the level and the form of mappings of type “entry-exit,” including for the obtaining of the necessary and sufficient conditions for local optimality.
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Translated from Itogi Nauki i Tekhniki, Seriya Problemy Geometrii, Vol. 20, pp. 111–206, 1988.
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Agrachev, A.A. Quadratic mappings in geometric control theory. J Math Sci 51, 2667–2734 (1990). https://doi.org/10.1007/BF01095430
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DOI: https://doi.org/10.1007/BF01095430