The paper develops algebraic formalism of differential one-forms, associated with the nonlinear control system defined on homogeneous time scales. This formalism unifies the existing theories for continuous- and discrete-time systems. A field of meromorphic functions, corresponding to a control system, is introduced. It is equipped with two operators whose properties are studied. An inversive closure of this field is constructed with the aid of one-forms.
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Bartosiewicz et al. (2007) studied this question.
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