j-Expansive matrix-valued functions and Darlington realization of transfer-scattering matrices

We obtain in this article theorems on linear fractional transformations of j-expansive matrix-valued functions wich provide a procedure to synthetize linear passive 2n-ports. In particular, these results permit us to solve the problem of Darlington realizations of transfer-scattering matrices of lin...

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Autor principal: Cortina, E.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v92_n2_p435_Cortina
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Sumario:We obtain in this article theorems on linear fractional transformations of j-expansive matrix-valued functions wich provide a procedure to synthetize linear passive 2n-ports. In particular, these results permit us to solve the problem of Darlington realizations of transfer-scattering matrices of linear passive 2n-ports on the basis of the synthesis of transfer-scattering matrices of linear 4n-ports without losses. It is a pleasure to acknowledge our debt to the remarkable paper [4] by Arov. © 1983.