@article{ZNSL_2008_355_a1,
author = {D. Z. Arov and N. A. Rozhenko},
title = {To the theory of passive systems of resistance with losses of scattering channels},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {37--71},
year = {2008},
volume = {355},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_355_a1/}
}
D. Z. Arov; N. A. Rozhenko. To the theory of passive systems of resistance with losses of scattering channels. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 36, Tome 355 (2008), pp. 37-71. http://geodesic.mathdoc.fr/item/ZNSL_2008_355_a1/
[1] D. Z. Arov,, “Optimalnye i ustoichivye passivnye sistemy”, Dokl. AN SSSR, 247:2 (1979), 265–268 | MR | Zbl
[2] D. Z. Arov, “Ustoichivye dissipativnye lineinye statsionarnye dinamicheskie sistemy rasseyaniya”, J. Operator Theory, 2 (1979), 95–126 | MR | Zbl
[3] D. Z. Arov, “Passivnye lineinye statsionarnye dinamicheskie sistemy”, Sib. matem. zhurn., 20 (1979), 211–228 | MR | Zbl
[4] D. Z. Arov, M. A. Nudel'man, “Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)”, Mat. Sb., 193:6 (2002), 791–810 | DOI | MR | Zbl
[5] D. Z. Arov, “O metode Darlingtona v issledovanii dissipativnykh sistem”, Dokl. AN SSSR, 201:3 (1971), 559–562 | MR | Zbl
[6] D. Z. Arov, “Realizatsiya matrits-funktsii po Darlingtonu”, Izv. AN SSSR. Ser. matem., 37:6 (1973), 1299–1331 | MR | Zbl
[7] D. Z. Arov, “Realizatsiya kanonicheskoi sistemy s dissipativnym granichnym usloviem na odnom kontse segmenta po koeffitsientu dinamicheskoi podatlivosti”, Sib. matem. zhurn., 16:3 (1975), 440–463 | MR | Zbl
[8] D. Z. Arov, “O funktsiyakh klassa $\Pi$”, Zap. nauchn. semin. LOMI, 135, Nauka, L., 1984, 5–30 | MR | Zbl
[9] V. M. Adamyan, D. Z. Arov, “Ob unitarnykh stsepleniyakh poluunitarnykh operatorov”, Matem. issledovaniya, 1:2 (1966), 3–64 | MR
[10] D. Z. Arov, Lineinye statsionarnye passivnye sistemy s poteryami, Dis. $\dots$ dokt. fiz.-matem. nauk, Odessa, 1983
[11] D. Z. Arov, N. A. Rozhenko, “$J_{p,m}$-vnutrennie dilatatsii matrits-funktsii klassa Karateodori, imeyuschikh psevdoprodolzhenie”, Algebra i Analiz, 19:3 (2007), 76–106 | MR
[12] D. Z. Arov, N. A. Rozhenko, “Passivnye sistemy soprotivleniya s poteryami kanalov rasseyaniya”, Ukr. matem. zhurn., 59:5 (2007), 618–649 | MR | Zbl
[13] D. Z. Arov, M. A. Kaashoek, D. R. Pik, “Minimal and optimal linear discrete time-invariant dissipative scattering systems”, Integral Equations Operator Theory, 29:2 (1997), 127–154 | DOI | MR | Zbl
[14] B. Sekefalvi-Nad, Ch. Foyash, Garmonicheskii analiz operatorov v gilbertovom prostranstve, Mir, M., 1970 | MR
[15] M. S. Brodskii, Treugolnye i zhordanovy predstavleniya lineinykh operatorov, Nauka, M., 1969 | MR
[16] M. S. Brodskii, “Unitarnye operatornye uzly i ikh kharakteristicheskie funktsii”, Usp. matem. nauk, 33:4 (1978), 141–168 | MR | Zbl
[17] N. I. Akhiezer, I. M. Glazman, Teoriya lineinykh operatorov v gilbertovom prostranstve, Vischa shkola, Kharkov, 1978 | MR
[18] R. G. Douglas, J. W. Helton, “Inner dilations of analytic matrix functions and Darlington synthesis”, Acta Sci. Math. (Szeged), 34 (1973), 61–67 | MR | Zbl
[19] P. De Wilde, Roomy scattering matrix synthesis, Technical Report, Berkeley, 1971
[20] L. Baratchart, A. Gombani, M. Olivi, “Parameter determination for surface acoustic wave filters”, IEEE Conference on Decision and Control (Sydney, Australia, December 2000)