Title: Quadratic mappings in geometric control theory

Authors: A.A. Agrachev

Journal title: Itogi Nauki i Tekhniki

Year: 1990

Issue: 6

Volume: 51

Pages: 2667-2734

Abstract:

The article is dedicated to local investigation of mappings of type “input-state” of smooth controlled systems. The homological theory of quadratic mappings and the geometry of the Lagrange Grassmannian are used for the study of mappings of type “input-state” including for the obtaining of the necessary and sufficient conditions for local optimality.

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