Brief PaperA periodically time-varying minimal partial realization algorithm based on twisting☆
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2000, AutomaticaCitation Excerpt :In this case, the periodic system can be given a state-space finite-dimensional realization, as shown in Colaneri and Longhi (1995). The problem of finding a minimal periodic realization in the form of difference equation is investigated in Bittanti, Bolzern and Guardabassi (1985) and Kuijper (1999). If the system is time invariant with transfer function G(σ), by letting T=1, it is easy to see that Gλ(σ,t)=G(λ), which is indeed the gain between the input and output “amplitudes” ū-ȳ.
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Supported by the Australian Research Council. This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor F. Blanchini under the direction of Editor R. Tempo.
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