Title :
2-D partial fraction expansions and minimal commutative realizations
Author :
Bisiacco, Mauro ; Fornasini, Ettore ; Marchesini, Giovanni
Author_Institution :
Dept. of Math. & Inf. Sci., Udine Univ., Italy
fDate :
12/1/1988 12:00:00 AM
Abstract :
An analysis is presented of the class of rational functions in two variables realized by two-dimensional state-space models satisfying the commutativity assumption A1A2= A2A1. A complete characterization of these transfer functions is given in terms of the existence of a suitable partial fraction expansion. It is shown that, under the commutativity assumption, minimal realizations are unique modulo algebraic equivalence, and the minimality is equivalent to local observability and reachability
Keywords :
multidimensional systems; observability; state-space methods; transfer functions; SISO; local observability; local reachability; minimal commutative realizations; modulo algebraic equivalence; rational functions; transfer functions; two variables; two-dimensional state-space models; Circuits and systems; Equations; Information science; State-space methods; Transfer functions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
