Realization and generalized Bezout identity in polynomial form for row-pseudoproper LMFD

This paper presents a novel and explicit formula for determining the generalized Bezout identity in polynomial form corresponding to a so-called row-pseudoproper left matrix-fraction-description (LMFD). With a special coordinate realization, and based on the proportional and derivative (PD) state-feedback control law, the desired matrix polynomials for generalized Bezout identity can be easily constructed. It should be pointed out that proposed design scheme can be treated as a generalized approach since it is suitable for both row-pseudoproper LMFDs and row-proper LMFDs.