Set of open-loop block-diagonalizers of transfer matrices
A.B. Özgüler, Vasfi Eldem · International Journal of Control · 1989
The set of open-loop (right) block-diagonalizers of a given p ? m transfer matrix Z, with specified block sizes, is studied. A characterization of this set is obtained in terms of a'maximal' open-loop block-diagonalizer and a minimal proper basis of the kernel of Z. The relevance of the results to some non-interacting control problems is pointed out. In particular, the results obtained yield a minimum delay solution to the block-decoupling problem using dynamic state feedback.