POLYNOMIAL INVERSES OF 2D-TRANSFER MATRICES AND FINITE MEMORY REALIZATIONS VIA INVERSE SYSTEMS

Authors
VALCHER ME FORNASINI E
Citation
Me. Valcher et E. Fornasini, POLYNOMIAL INVERSES OF 2D-TRANSFER MATRICES AND FINITE MEMORY REALIZATIONS VIA INVERSE SYSTEMS, Multidimensional systems and signal processing, 4(3), 1993, pp. 269-284
Citations number
14
Categorie Soggetti
System Science","Computer Applications & Cybernetics","Engineering, Eletrical & Electronic
Journal title
Multidimensional systems and signal processing → ACNP
ISSN journal
09236082
Volume
4
Issue
3
Year of publication
1993
Pages
269 - 284
Database
ISI
SICI code
0923-6082(1993)4:3<269:PIO2MA>2.0.ZU;2-C
Abstract
Let G(z1, z2) be ap x m 2D proper rational transfer matrix, with full column rank, and SIGMA = (A1, A2, B1, B2, C, D) a state-space realizat ion of its. Necessary and sufficient conditions are presented in this paper, which guarantee that (i) G(z1, z2) admits polynomial left inver ses, (ii) such polynomial inverses are transfer matrices of some inver se system of SIGMA. When the above conditions are not fulfilled. the e xistence of stable and/or proper possibly delayed, inverses of G(z1, z 2), is also discussed.