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Computation of minimal periodic realizations of transfer-function matrices

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1 Author(s)
Varga, A. ; German Aerosp. Center, Inst. of Robotics & Mechatronics, Wessling, Germany

We present a numerical approach to compute a minimal periodic state-space realization of a transfer-function matrix corresponding to a lifted state-space representation. The proposed method determines a realization with time-varying state dimensions by using exclusively orthogonal transformations. The new method is numerically reliable, computationally efficient and thus well suited for robust software implementations.

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Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 1 )