The Darlington Synthesis Problem

Stephan Ramon Garcia (), Javad Mashreghi () and William T. Ross ()
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Stephan Ramon Garcia: Pomona College
Javad Mashreghi: Laval University
William T. Ross: University of Richmond

Chapter Chapter 13 in Finite Blaschke Products and Their Connections, 2018, pp 291-306 from Springer

Abstract: Abstract The (scalar-valued) Darlington synthesis problem from electrical network theory asks the following question. Given a ∈ H ∞, do there exist b, c, d ∈ H ∞ such that the matrix-valued analytic function U = a − b c d $$\displaystyle U = \begin {bmatrix} a & -b \\ c & d \end {bmatrix} $$ is unitary almost everywhere on 𝕋 $$\mathbb {T}$$ ?

Date: 2018
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DOI: 10.1007/978-3-319-78247-8_13

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