Abstract
We present a numerical approach to compute a minimal peri- odic state-space realization of a transfer-function matrix corresponding to a lifted state-space representation. The proposed method determines a real- ization 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. Index Terms—Discrete-time systems, minimal realization, numerical methods, periodic systems, time-varying systems.
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