Abstract
The Brunovsky (or Controller) form is a useful normal form of linear systems under the group of linear state coordinate changes and linear state feedbacks. We discuss normal forms of quadratic systems under quadratic change of coordinates and quadratic feedback modulo cubic and higher terms. We discuss the relationship of these normal forms to the Generalized Legendre-Clebsch of Singular Optimal Control.
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© 1991 Birkhäuser Boston
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Krener, A.J., Kang, W. (1991). Degree Two Normal Forms of Control Systems and the Generalized Legendre Clebsch Condition. In: Bonnard, B., Bride, B., Gauthier, JP., Kupka, I. (eds) Analysis of Controlled Dynamical Systems. Progress in Systems and Control Theory, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3214-8_26
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_26
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7835-1
Online ISBN: 978-1-4612-3214-8
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