On the compact formulation of the derivation of a transfer matrix with respect to another matrix

Abstract : A new operator is considered, allowing compact formulae and proofs in the context of the derivation of a transfer matrix with respect to another matrix. The problem of the parametric sensitivity matrix calculation is chosen for illustration. It consists in deriving a Multiple Input Multiple Output transfer function with respect to a parametric matrix and is central in robust control theory. Efficient algorithms may be straightforwardly got from the compact analytic formulae using the operator introduced.
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https://hal.inria.fr/inria-00348344
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Submitted on : Thursday, December 18, 2008 - 4:07:19 PM
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Thibault Hilaire, Philippe Chevrel. On the compact formulation of the derivation of a transfer matrix with respect to another matrix. [Research Report] PI 1916, 2008, pp.13. ⟨inria-00348344⟩

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