Abstract
In this paper parametrization issues for the problem of Diagonal Decentralized Stabilization, (DDSP), of linear, time invariant, MIMO systems, are addressed via the algebraic framework of Matrix Fractional Description, (MFD), of the system transfer matrices. It is shown that the DDSP is intimately related to plants that exhibit the property of cyclicity. The family of diagonal stabilizing controllers is parametrized via what is termed as "mode T mutually stabilizing pairs", with T taken from a family of matrices related to the plant transfer matrix. The above parametrization makes possible the determination of certain types of stabilizing controllers such as, proper, stable, reliable
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