Abstract
This paper derives some necessary conditions for output redefinition. It is shown that for defining a new output it should contain at least one linear term to have a well-defined relative degree. In addition, it is presented that by a static transformation on system output, relative degree and the zero dynamics of the system are not changed. Therefore, output signal is not enough for output redefinition to convert a non-minimum phase system to a minimum phase system and availability of required state variables or at least observability of the states is necessary.
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