A characterization of analytic ruled surfaces
نویسنده
چکیده
We address the following question. Consider a sub-manifold of an affine space, defined by its equations F = 0: does there exist a finite characterization of ruled sub-manifolds in terms of derivatives of F via algebraic inequalities and/or equalities ? This question is related to an open problem in control theory: the finite characterization of flat systems [2] and, more generally, of systems linearizable via dynamic feedback [1]. This note has been motivated by interesting discussions and electronic mails with François Labourie. It presents a characterization of analytic ruled surfaces of R: the second and third derivatives of F satisfy one algebraic inequality and one algebraic equality.
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تاریخ انتشار 2005