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 |
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| container_end_page | 787 |
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| container_issue | 5 |
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| container_title | SIAM journal on control and optimization |
| container_volume | 22 |
| creator | WOLOVICH, W. A ANTSAKLIS, P. J |
| description | 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. |
| doi_str_mv | 10.1137/0322049 |
| format | Article |
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| identifier | ISSN: 0363-0129 |
| ispartof | SIAM journal on control and optimization, 1984-09, Vol.22 (5), p.777-787 |
| issn | 0363-0129 1095-7138 |
| language | eng |
| recordid | cdi_proquest_journals_926029212 |
| source | SIAM Journals Online |
| subjects | Applied sciences Computer science control theory systems Control theory. Systems Exact sciences and technology System theory |
| title | The canonical diophantine equations with applications |
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