Abstract. Description of linear continuous part of discrete system in phase space with the system output signal being one of the space coordinates is obtained by a linear nondegenerate transformation with observability matrix. The initial description of continuous part in natural phase space is obtained by decomposition of transfer function of continuous part into two functions, in one of which the numerator equals to unity, and in the other – the denominator. Implementation of the transformation makes use of an identity representing the observability matrix in the form of a polynomial in powers of the system matrix (Frobenius matrix) with coefficients of numerator of transfer function of the continuous part. An example demonstrating the proposed method applicability is presented.

Keywords: continuous part, vector-matrix differential equation, static converter

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