Geodesic
Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 71-74.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_2000_34_4_a5,
     author = {D. Z. Arov},
     title = {Conditions for the {Similarity} of {All} {Minimal} {Passive} {Scattering} {Systems} with {Given} {Scattering} {Matrix}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {71--74},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a5/}
}
TY  - JOUR
AU  - D. Z. Arov
TI  - Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2000
SP  - 71
EP  - 74
VL  - 34
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a5/
LA  - ru
ID  - FAA_2000_34_4_a5
ER  - 
%0 Journal Article
%A D. Z. Arov
%T Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2000
%P 71-74
%V 34
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a5/
%G ru
%F FAA_2000_34_4_a5
D. Z. Arov. Conditions for the Similarity of All Minimal Passive Scattering Systems with Given Scattering Matrix. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 71-74. http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a5/

[1] Willems J. C., “Dissipative dynamical systems. I: General theory”, Arch. Rational Mech. Anal., 45 (1972), 321–393 | DOI | MR

[2] Hill D. J., Moylan P. J., “Dissipative dynamical systems: basic input-output and state properties”, J. Franklin Inst., 309 (1980), 327–457 | DOI | MR

[3] Wohlers M. R., Lumped and distributed passive networks, Academic Press, 1969 | Zbl

[4] Livshits M. S., Operatory, kolebaniya, volny. (Otkrytye sistemy), Nauka, M., 1966 | MR | Zbl

[5] Laks P., Fillips R., Teoriya rasseyaniya, Mir, M., 1971 | MR

[6] Lax P., Phillips R., “Scattering theory for dissipative hyperbolic systems”, J. Funct. Anal., 14(2) (1973), 172–235 | DOI | MR | Zbl

[7] Sekefalvi–Nad B., Foyash Ch., Garmonicheskii analiz operatorov v gilbertovom prostranstve, Mir, M., 1970 | MR

[8] de Branges L., Rovnyak J., Square summable power series, Holt, Rinehart, and Winston, New York, 1966 | MR | Zbl

[9] Arov D. Z., Sib. matem. zh., 20 (1979), 211–228 | MR | Zbl

[10] Arov D. Z., “Archiv für Elektronik und Übertragungstechnik”, Int. J. of Electron. and Commun., 49:5/6 (1995), 252–265

[11] Kalman R., Falb P., Arbib M., Ocherki po matematicheskoi teorii sistem, Mir, M., 1971 | MR | Zbl

[12] Nudelman M. A., Sib. matem. zh., 33(1) (1992), 78–86 | MR

[13] Arov D. Z., Nudelman M. A., “Passive linear stationary dynamical scattering systems with continuous time”, Integral Equations Operator Theory, 24 (1996), 1–45 | DOI | MR | Zbl

[14] Arov D. Z., “Stable dissipative linear stationary dynamical scattering systems”, J. Operator Theory, 2 (1979), 95–126 | MR | Zbl

[15] Fuhrmann P., Linear systems and operators in Hilbert space, McGraw–Hill, 1981 | MR | Zbl

[16] Brodskii M. S., “Unitarnye operatornye uzly i ikh kharakteristicheskie funktsii”, UMN, 33:4(202) (1978), 141–168 | MR | Zbl

[17] Adamyan V. M., Arov D. Z., Matematicheskie issledovaniya, 1:2 (1966), 3–64 | MR