Doubly coprime decompositions of a collection of rational matrices

✍ Scribed by C. Coll; J. Gelonch; E. Sanchez

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 492 KB
• Volume: 38
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(99)00288-6

✦ Synopsis

An N-periodic discrete-time system in z-domain given by an N-periodic collection of rational matrices is considered. Doubly coprime decomposition of these matrices is studied. For such decompositions, the block-ordered concept is used. Further, the eight matrices in the generalized Bezout identity, so that all of them are block-ordered, can be chosen. A relation among these matrices at consecutive times is established.