Nonisomorphic classes of inhomogeneous bilinear realizations: Realizability and existence

✍ Scribed by Masato Inagaki; Yasuyuki Funahashi

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 368 KB
• Volume: 16
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(80)90092-8

✦ Synopsis

This paper is concerned with the nonisomorphic classes of the inhomogeneous bilinear realizations with unknown initial state.

A necessary and sufficient condition is given for the factorizability of the generalized Hanket matrix into the specified torm. And then a new realizability condition for inhomogeneous bilinear systems is obtained, which is of practical use.

A necessary and sufficient condition for the existence of nonisomorphic (in the sense of linear transformation) spancanonical realizations is given. And the parameters determining the classes of nonisomorphic realizations are obtained in explicit form. As a result, it is shown that if nonisomorphic realizations exist, the cardinality of the family of nonisomorphic classes is equal to that of the real number field.