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.
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Original Russian Text © I.A. Karaseva, Yu.M. Nechepurenko, A.S. Potyagalova, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 5, pp. 746–762.
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Karaseva, I.A., Nechepurenko, Y.M. & Potyagalova, A.S. Spectral reduction for control systems modeling passive integrated circuits. Comput. Math. and Math. Phys. 48, 707–723 (2008). https://doi.org/10.1134/S0965542508050023
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DOI: https://doi.org/10.1134/S0965542508050023