Title :
Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback
Author :
Rosenthal, Joachim ; Schumacher, J.M. ; Wang, Xiaochang Alex ; Willems, Jan C.
Author_Institution :
Dept. of Math., Notre Dame Univ., IN, USA
Abstract :
We show in this paper that arbitrary pole assignment by memoryless feedback is generically possible in the class of generalized first order system of a fixed McMillan degree n as soon as n is strictly less than the input number times the output number. Our result generalizes results by the authors covering the situation when the set of plants consists of strictly proper transfer functions only
Keywords :
eigenvalues and eigenfunctions; feedback; pole assignment; arbitrary pole assignment; fixed McMillan degree; generalized linear first-order systems; generic eigenvalue assignment; memoryless real output feedback; strictly proper transfer functions; Eigenvalues and eigenfunctions; Geometry; History; Linear feedback control systems; Linear systems; Mathematics; Output feedback; Polynomials; State feedback; Transfer functions;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478939