Abstract
In this paper, we present an improved-tableau polynomial matrix description for analyzing the dynamics of very large scale integrated circuits (VLSIs) and we compare the results with those proposed by Desoer and Gundes. Using this method in conjunction with fractional perturbations and the polynomial left coprime factorization technique, we study the exponential stability of a nominal VLSI and the associated perturbed VLSI, which may be regarded as an interconnected network or multiport, and we present necessary and sufficient conditions for robust exponential stability of the perturbed VLSI in two different ways. Some of these results are similar to those developed by Desoer and Gundes but are given in a much simpler form. Others are extensions of or dual to those given in the literature.
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