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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 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
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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.
Received: 25.05.2007
Revised: 24.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 5, Pages 707–723
DOI: https://doi.org/10.1134/S0965542508050023
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
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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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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