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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 5, Pages 746–762 (Mi zvmmf134)  

This article is cited in 1 scientific paper (total in 1 paper)

Spectral reduction for control systems modeling passive integrated circuits

I. A. Karasëvaa, Yu. M. Nechepurenkob, A. S. Potyagalovac

a Moscow Institute of Physics and Technology, ul. Kakhovskaya 1a, 1, Moscow, 123098, Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
c Cadance Design System, Bol'shaya Ordynka 44, Moscow, 119017, Russia

Abstract: Linear control systems modeling passive integrated circuits are examined. A new algebraic method of spectral reduction equipped with efficient tools for preserving passivity is proposed and justified. For RC networks (circuits), this method is similar to and can be regarded as an extension of the well-known PACT method, which is based on congruence transforms. Up to now, such an extension seemed to be impossible, and different techniques were used for the reduction of RCL and RCLM networks. Some numerical results are presented.

Key words: spectral reduction, control systems, passive integrated circuits, balanced dichotomy, block diagonalization.

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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:5, 707–723

Bibliographic databases:

UDC: 519.61
Received: 25.05.2007
Revised: 24.10.2007

Citation: I. A. Karasëva, Yu. M. Nechepurenko, A. S. Potyagalova, “Spectral reduction for control systems modeling passive integrated circuits”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 746–762; Comput. Math. Math. Phys., 48:5 (2008), 707–723

Citation in format AMSBIB
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\paper Spectral reduction for control systems modeling passive integrated circuits
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 48
\issue 5
\pages 746--762
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\transl
\jour Comput. Math. Math. Phys.
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\pages 707--723
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    This publication is cited in the following articles:
    1. Karaseva I.A., “Fast calculation of signal delay in RC-circuits based on Laguerre functions”, Russian J. Numer. Anal. Math. Modelling, 26:3 (2011), 295–301  crossref  mathscinet  zmath  isi  elib  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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