Abstract
This paper studies in the framework of transfer matrices the block decoupling problem for linear systems over unique factorization domains. Necessary and sufficient conditions for an injective linear system to be block-decouplable by static feedback are obtained. Moreover the decoupling static state feedback is given. It is shown that the result obtained here is a generalization of the result given by Datta and Hautus in 1984, for systems over unique factorization domains having the same numbers of input and output. Further it is shown that the present result is a generalization of the conditions given by Hautus and Heymann in 1983 for systems over the field of reals.
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