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.
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Bonnard, B. Quadratic control systems. Math. Control Signal Systems 4, 139–160 (1991). https://doi.org/10.1007/BF02551263
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DOI: https://doi.org/10.1007/BF02551263