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Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) (French. English summary) Zbl 0791.68113

Summary: The main properties of the structure algorithm, which is so important in understanding input-output inversion, can be given an elegant translation into the algebraic language of filtrations. This is utilized for demonstrating that any right-invertible system can be decoupled via a quasi-static state feedback, which does not require the integration of any differential equation.

MSC:

68Q70 Algebraic theory of languages and automata
93B25 Algebraic methods
12H05 Differential algebra
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