TY - JOUR
T1 - Noncommuting multidimensional realization theory
T2 - Minimality, reachability, and observability
AU - Beck, Carolyn
AU - D'Andrea, Raffaello
N1 - Funding Information:
Manuscript received December 18, 2002; revised December 23, 2003. Recommended by Associate Editor Y. Yamamoto. This work was supported in part by the National Science Foundation under Grant ECS00961999, by the joint EPRI/DOD CIN/SI Contract W08333-06, and by the Air Force Office of Scientific Research under Grant F49620-98-0416.
PY - 2004/10
Y1 - 2004/10
N2 - A generalization of the notions of minimality, reachability, and observability for parameter dependent and multidimensional systems modeled by linear fractional transformations over noncommuting operators is presented. The multidimensional system results developed herein are formally similar to and directly specialize to the standard results when one-dimensional systems are considered.
AB - A generalization of the notions of minimality, reachability, and observability for parameter dependent and multidimensional systems modeled by linear fractional transformations over noncommuting operators is presented. The multidimensional system results developed herein are formally similar to and directly specialize to the standard results when one-dimensional systems are considered.
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U2 - 10.1109/TAC.2004.835582
DO - 10.1109/TAC.2004.835582
M3 - Article
AN - SCOPUS:7244225205
SN - 0018-9286
VL - 49
SP - 1815
EP - 1820
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 10
ER -