Block decoupling for linear systems over rings Original Research Article

This paper studies the block-decoupling problem for injective linear systems defined over unique factorization domains, and necessary and sufficient conditions for its solvability are obtained using the algebraic properties of transfer matrices. Further, it is shown that if the problem is solvable the decoupling can be achieved by a biproper compensator and such a compensator can be realized by a regular static state feedback. Finally, an example is given to illustrate the results.