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Solvability of the decoupling problem for linear constant (A,B,C,D)-quadruples with regular output feedback

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2 Author(s)
Descusse, J. ; Laboratoire d́Automatique de ĺEcole Nationale Supérieure de Mécanique de Nantes, Equipe de Recherche associée au C ; Malabre, M.

The aim of this paper is to deal with the general decoupling problem of linear constant (A, B, C, D)-quadruples under the assumption of (regular) output feedback. In its most general setting, this problem was hitherto unsolved. Here we give a complete characterization of solutions by (regular) output feedback by means of necessary and sufficient conditions of existence. They generalize the result previously obtained by Denham [4] for the linear constant (A, B, C)-triples.

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Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 2 )