Let G(z1,z2) be a p×m 2D proper rational transfer matrix, with full column rank, and S= (A1,A2,B1,B2,C, D) a state-space realization of its. Necessary and sufficient conditions are presented in this paper, which guarantee that (i) G(z1,z2) admits polynomial left inverses, (ii) such polynomial inverses are transfer matrices of some inverse system of sum. When the above conditions are not fulfilled, the existence of stable and/or proper, possibly delayed, inverses ofG(z1,z2), is also discussed.
Polynomial inverses of 2D transfer matrices and finite memory realizations via inverse systems
VALCHER, MARIA ELENA;FORNASINI, ETTORE
1993
Abstract
Let G(z1,z2) be a p×m 2D proper rational transfer matrix, with full column rank, and S= (A1,A2,B1,B2,C, D) a state-space realization of its. Necessary and sufficient conditions are presented in this paper, which guarantee that (i) G(z1,z2) admits polynomial left inverses, (ii) such polynomial inverses are transfer matrices of some inverse system of sum. When the above conditions are not fulfilled, the existence of stable and/or proper, possibly delayed, inverses ofG(z1,z2), is also discussed.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
