Abstract
Let us suppose, for ease of exposition, that our field is simply the complex numbers ℂ in this section (although all that we do is valid for any algebraically closed field k). We recall that there were four basic representations of a scalar input-scalar output linear system introduced in Part I. These representations were:
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(1)
a proper rational meromorphic function f(z);
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(2)
a pair of relatively prime (coprime) polynomials (p(z), q(z));
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(3)
a Hankel matrix H of finite rank; and,
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(4)
a triple (A, b, c) in A n 2 +2n.
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© 1999 Springer Science+Business Media New York
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Falb, P. (1999). Scalar Input or Scalar Output Systems. In: Methods of Algebraic Geometry in Control Theory: Part II. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1564-6_2
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DOI: https://doi.org/10.1007/978-1-4612-1564-6_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7194-9
Online ISBN: 978-1-4612-1564-6
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