ALGORITHM FOR REDUCING THE MINIMAL-REALIZATION PROBLEM OF 2-DIMENSIONAL SYSTEMS TO A SYSTEM OF BILINEAR EQUATIONS
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PARASKEVOPOULOS, PN
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ANTONIOU, GE
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The problem of the minimal state space realization of two-dimensional transfer functions which are not of any special form such as separable, all pole, all zero, continued fraction expandable, etc. is considered. For this general type of transfer function, an algorithm is presented for the minimal state space realization which is computationally superior over known techniques. The proposed algorithm starts by deriving, prior to and independently of the state space vectors b and c and the scalar d, the matrix A of the space model, nearly by inspection. Subsequently, the vectors b and c and the scalar d are determined on the basis of a bilinear algebraic system of equations.
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