Abstract
It will be shown that a complete set of feedback invariants for linear (or static) output feedback is explicitly defined under the Grassman space framework. Specifically, it is established that the Grassmann invariant form of linear multivariable system (rigorously, multivector nonzero decomposable form over a rational vector space associated with transfer function matrix), presents a global, minimal and complete feedback invariant form in linear output feedback pole-assignment condition. A former negative preclusion, nonclosed orbit problem for output feedback equivalence in linear algebraic group approach, is re-analyzed in the Grassmann invariant condition (so called, Plucker matrix full-rank condition). A constructive algorithm for the complete feedback invariant form is given and illustrated in a concrete way.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
