Abstract

Abstract The choice of a parametrization for the representation of a linear multivariable control system amounts to the selection of a basis of the rows of the Hankel matrix of Markov elements. The so-called ‘ overlapping ’ or ‘ pseudo-canonical ’ forms are traditionally obtained by imposing two selection rules : a block selection rule and a chain selection rule. In this paper, these constraints are relaxed to requiring only a chain selection rule. This allows for more flexibility in selecting numerically well-conditioned parametrizations.

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