Abstract

A characterization of blocking zeros as related to invariant zeros or transmission zeros and their multiplicity structure is given. This characterization reveals several fundamental properties of blocking zeros. For example, given a multivariable system having a transfer function with normal rank greater than unity, it does not have any blocking zeros and hence is strongly stabilizable whenever all its invariant zeros are distinct. On the other hand, all single input and single output systems and some multivariable systems having the normal rank of their individual transfer functions as unity, always require a certain interlacing property among their invariant zeros and poles in order to be strongly stabilizable. >

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