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Quadratic control systems
Authors:B. Bonnard
Affiliation:(1) Laboratoire d'Automatique de Grenoble, URA CNRS 228, E.N.S.I.E.G.-I.N.P.G., B.P. 46, 38402 Saint Martin D'Heres, France
Abstract:
We outline a geometric theory for a class of homogeneous polynomial control systems called quadratic systems. We describe an algorithm to compute a minimal realization and study the feedback classification problem. Feedback invariants are related to the singularities of the input-output mapping and canonical forms are exhibited.
Keywords:Polynomial systems  Minimal realization  Feedback classification  Invariant theory
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