This article is cited in 1 paper

Spectral reduction for control systems modeling passive integrated circuits

I. A. Karasëva^a, Yu. M. Nechepurenko^b, A. S. Potyagalova<sup>c

a</sup> 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.

UDC: 519.61

Received: 25.05.2007
Revised: 24.10.2007

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

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