The canonical diophantine equations with applications

The canonical diophantine equations with applications

A fundamental relationship between appropriate pairs of polynomial matrices is presented. This relationship, termed canonical Diophantine equations, can be used to resolve a number of standard polynomial matrix problems. Here, the general Diophantine equation is constructively resolved in a unique m...

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Veröffentlicht in:SIAM journal on control and optimization 1984-09, Vol.22 (5), p.777-787
Hauptverfasser: WOLOVICH, W. A, ANTSAKLIS, P. J
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
System theory
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Zusammenfassung:A fundamental relationship between appropriate pairs of polynomial matrices is presented. This relationship, termed canonical Diophantine equations, can be used to resolve a number of standard polynomial matrix problems. Here, the general Diophantine equation is constructively resolved in a unique minimal way; in addition, prime canonical factorizations of a system transfer matrix are derived from knowledge of any dual factorization.
ISSN:0363-0129
1095-7138
DOI:10.1137/0322049