Title :
Noncommuting multidimensional realization theory: minimality, reachability, and observability
Author :
Beck, Carolyn ; D´Andrea, Raffaello
Author_Institution :
Dept. of Gen. Eng., Univ. of Illinois, Urbana, IL, USA
Abstract :
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.
Keywords :
minimisation; multidimensional systems; observability; reachability analysis; realisation theory; linear fractional transformations; minimality; multidimensional systems; noncommuting multidimensional realization theory; observability; reachability; Controllability; MIMO; Machinery; Multidimensional systems; Observability; Robust control; Standards development; Time varying systems; Uncertain systems; Uncertainty; Multidimensional systems; linear fractional transformations; minimality; observability; reachability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.835582
