Abstract
The paper deals with the problem of computing the singular values of a Hankel operator with a symbol of the type m * w with m, w ε H ∞+ , m inner and w rational. In this case the problem reduces to the computation of zeroes of some functional determinant. This has been shown in Foias, Tannenbaum and Zames [1988], Lypchuk, Smith and Tannenbaum [1988], Smith [1989], Ozbay [1990]. The emphasis in this paper is to give a more illuminating and geometrical proof of the conjecture in Zhou and Khargonekar [1987]. This proof is based on the theory of polynomial models developed by the author, and it leans heavily on Smith [1989].
Keywords
- Half Plane
- Invariant Subspace
- Polynomial Model
- Singular Vector
- Hankel Operator
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1991 Springer-Verlag Berlin Heidelberg
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Fuhrmann, P.A. (1991). On the hamiltonian structure in the computation of singular values for a class of Hankel operators. In: Mosca, E., Pandolfi, L. (eds) H∞-Control Theory. Lecture Notes in Mathematics, vol 1496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084471
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DOI: https://doi.org/10.1007/BFb0084471
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