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
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.
spectral reduction, control systems, passive integrated circuits, balanced dichotomy, block diagonalization.
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Computational Mathematics and Mathematical Physics, 2008, 48:5, 707–723
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
\by I.~A.~Karas\"eva, Yu.~M.~Nechepurenko, A.~S.~Potyagalova
\paper Spectral reduction for control systems modeling passive integrated circuits
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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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
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