Abstract
A complete new resolution is presented to the question of what changes occur to the individual transfer matrix elements of a linear multivariable system under local, scalar output feedback. In particular, it is first shown what poles become controllable and observable via any input/output pair when constant gain output feedback is applied between any (i-th) output, Yi and any (j-th) input, uj . The changes which simultaneously occur to the numerator elements of the transfer matrix are then determined through the employment of some new relationships derived from any appropriate relatively right prime factorization, R(s)P(s)-1, of T(s), the system transfer matrix. Certain extensions of this work are discussed along with its relevance to decentralized control.
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