Title :
Controllability indices and Wedderburn-Forney spaces
Author :
Giust, S.J. ; Rakowski, M. ; Wyman, B.F. ; Schrader, C.B.
Author_Institution :
Dept. of Math., Ohio State Univ., Columbus, OH, USA
Abstract :
The controllability indices of a state-input pair coincide with the minimal indices of the rational nullspace of an appropriate controllability pencil. In fact, this numerical result (well-known in other contexts) reflects the fact that the Wedderburn-Forney space of the kernel of a controllability pencil is isomorphic for a filtered vector space with the controllability subspace
Keywords :
controllability; filtering and prediction theory; performance index; polynomials; Wedderburn-Forney spaces; controllability indices; controllability pencil; controllability subspace; filtered vector space; isomorphism; rational space; state-input pair; Controllability; Eigenvalues and eigenfunctions; Filtration; IEEE news; Kalman filters; Mathematics; Polynomials; Testing;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325717
