Decoupling by restricted static-state feedback: The general case

Abstract
In this paper we tackle the general block decoupling problem, for linear constant dynamical systems ( C, A, B ) with m inputs and p outputs, with restricted static-state feedback, in other words with control laws of type u = 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 case k = p \leq m , where k denotes the number of blocks to be decoupled.

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