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Classes $\\sM^Q$, $\\sM^Q_\\kappa$, $\\sM^{-1,Q}_\\kappa$ that are impedance functions of the corresponding $L$-systems are introduced. A unique unimodular transformation of a given $L$-system with impedance function from the mentioned above classes is found such that the impedance function of a new $L$-system belongs to $\\sM^{(-Q)}$, $\\sM^{(-Q)}_\\kappa$, $\\sM^{-1,(-Q)}_\\kappa$, respectively. 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