BLOCK-DECOUPLING FOR LINEAR-SYSTEMS OVER RINGS

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