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In this paper we tackle the general block decoupling problem, for linear constant dynamical systems (C, A, B) withminputs andpoutputs, with restricted static-state feedback, in other words with control laws of typeu = GFx + Gv. We give a necessary and sufficient condition of existence for such laws which generalizes the one previously given in [2] for the simple casek = p ≤ m, wherekdenotes the number of blocks to be decoupled.
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Descusse et al. (1984) studied this question.
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