Abstract
We are interested in conditions under which, for a family of systems depending smoothly on some parameters, there exists a family of diffeomorphisms and feedback transformations, smoothly depending on the parameters, which transform the family of systems into one (independant of the parameters). This paper deals with the relationship between the possibility to define these families of feedback and diffeomorphisms everywhere locally (locally around any point), or globally. No constant rank assumption is made.
This work was partially supported by NSERC grant OG0036498.
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© 1991 Birkhäuser Boston
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Pomet, JB., Kupka, I. (1991). Global Aspects of Feedback Equivalence for a Parametrized Family of Systems. 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_30
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_30
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