Abstract
We consider the problem of existence of structurally stable normal forms of affine control systems with m inputs and n-dimensional state space, equipped with C ∞-Whitney topology and acted on by the static state feedback group. It is proved that structurally stable normal forms exist only if m = n or m =1 and n = 2, and are linear. There are no stable normal forms in any other range of dimensions ( m, n).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.