Delsarte, Ph.; Genin, Y.; Kamp, Y. On the role of the Nevanlinna-Pick problem in circuit and system theory. (English) Zbl 0458.94048 Int. J. Circuit Theory Appl. 9, 177-187 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 40 Documents MSC: 94C05 Analytic circuit theory 93A99 General systems theory Keywords:interpolation by reflectance functions; polynomial stability checking; cascade synthesis of passive one-ports; model reduction with a Hankel norm criterion PDFBibTeX XMLCite \textit{Ph. Delsarte} et al., Int. J. Circuit Theory Appl. 9, 177--187 (1981; Zbl 0458.94048) Full Text: DOI References: [1] Pick, Math. Ann. 77 pp 7– (1916) [2] Nevanlinna, Ann. Acad. Sci. Fenn. A32 pp 1– (1929) [3] The Classical Moment Problem, Oliver & Boyd, London, 1965. [4] Potapov, Amer. Math. Soc. Transl. 15 pp 131– (1960) · Zbl 0090.05403 · doi:10.1090/trans2/015/07 [5] Adamjan, Math. USSR Sbornik 15 pp 31– (1971) [6] ’Beitrag zur Realisierung von Zweipolen mit vorgegebener Charakteristik’, Atheneum, Budapest, 1938. [7] Youla, J. Franklin Inst. 284 pp 77– (1967) [8] Gregor, Acta Polytechnica Praha 4 pp 23– (1969) [9] Belevitch, Philips Res. Repts. 25 pp 337– (1970) [10] Applied and Computational Complex Analysis, Vol. I, Wiley, New York, 1974. [11] Darlington, J. Math. Phys. 18 pp 257– (1939) · doi:10.1002/sapm1939181257 [12] Youla, IRE Trans. Circuit Theory CT-8 pp 244– (1961) · doi:10.1109/TCT.1961.1086791 [13] Classical Network Theory, Holden-Day, San Francisco, 1968. · Zbl 0172.20404 [14] Genin, IEEE Trans. Circuits and Systems [15] Belevitch, Philips Res. Repts. 26 pp 326– (1971) [16] ’On the cascade decomposition of lossless 2-ports’, Memo 1377, Polytech. Inst. of Brooklyn, 1967. [17] Fettweis, IEEE Trans. Circuit Theory CT-17 pp 86– (1970) [18] Dewilde, IEEE Trans. Circuits and Systems CAS-25 pp 663– (1978) [19] and , ’Schur recursions, error formulas and convergence of rational estimators for stationary stochastic sequences’, Delft University of Technology, Report 92, 1979. [20] ’A new identification and model reduction algorithm via singular value decomposition’, Proc. 12th Annual Asilomar Conference on Circuits, Systems and Computers, November 1978. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.