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Poles and zeros at infinity of linear time-varying systems

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2 Author(s)
Bourles, H. ; Lab. d''Autom. des Arts et Metiers, CNAM-ENSAM, Paris, France ; Marinescu, B.

The notions of poles and zeros at infinity and their relations are extended to the case of linear continuous time-varying systems. This study is based on the notion of a “newborn systems which is, in a mathematical point of view, a graded module extension over the noncommutative ring of differential operators. It is proved to be a relevant generalization to the time-varying case of the equivalence class, for the so-called “restricted equivalence” of Rosenbrock's polynomial matrix descriptions. The authors' approach is intrinsic and unifies the definitions previously given in the literature in the time-invariant case

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Automatic Control, IEEE Transactions on  (Volume:44 ,  Issue: 10 )