Title :
On output feedback invariants and cascade equivalence of systems
Author :
Ravi, M.S. ; Rosenthal, J. ; Helmke, U.
Author_Institution :
Dept. of Math., East Carolina Univ., Greenville, NC, USA
Abstract :
The paper is concerned with the algebraic classification problem of linear systems up to static output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi projective variety whose points parameterize the output feedback orbits in a unique way. If the McMillan degree n⩾mp then the set of output feedback orbits of nondegenerate transfer functions of size p×m is a quasi projective variety
Keywords :
algebra; cascade systems; feedback; geometry; pattern classification; transfer functions; McMillan degree; algebraic classification problem; cascade equivalence; geometric invariant theory; linear systems; nondegenerate transfer functions; output feedback invariants; output feedback orbits; quasi projective variety; static output feedback; Linear systems; Mathematics; Orbits; Output feedback; State feedback; State-space methods; Transfer functions;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649500
