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Minimal symmetric Darlington synthesis: the real case

Abstract : We consider the symmetric Darlington synthesis of a p × p rational symmetric Schur function S with the constraint that the extension is of size 2p × 2p and we investigate what happens when we impose that S and its extension have real coefficients. In this case, under the assumption that S is strictly contractive in at least one point of the imaginary axis, we determine an upper bound for the McMillan degree of the extension. A constructive characterization of all such extensions is provided in terms of a symmetric realization of S and of the outer spectral factor of I− SS*.
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  • HAL Id : hal-00788397, version 1



Laurent Baratchart, Per Enqvist, Andrea Gombani, Martine Olivi. Minimal symmetric Darlington synthesis: the real case. MTNS- 19th International Symposium on Mathematical Theory of Networks and Systems - 2010, Jul 2010, Budapest, Hungary. ⟨hal-00788397⟩



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