Zeros in Plant Specification: Constraints and Solutions

This paper presents and characterizes a new module Z´ of zeros in solutions P(z) to the linear transfer function equation T(z) = P(z) M(z). Unlike the module Z of [1], Z´ is finitely generated and torsion, and is thus of classical, finite-dimensional, state-space type. It is, however, a more elaborate module than Z in terms of its submodules and factors. In addition, Z of [1] is established as an essential submodule of the extended, ¿-zeros of P(z).