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• W1511157024 abstract "This paper deals with linear time-varying, delay systems. Extensions of the concept of differential flatness cite{Fliess_95} to this context have been first proposed in cite{Mounier_95,Fliess_96} (see also cite{Rudolph_03,Chyzak_05}), by the introduction of $pi$-flat output. Roughly speaking, it means that every system variable may be expressed as a function of a particular output $y$, a finite number of its time derivatives, time delays, and predictions, the latter resulting from the prediction operator $pi^{-1}$. We propose a simple and constructive algorithm for the computation of $pi$-flat outputs based on concepts of polynomial algebra, in particular Smith-Jacobson decomposition of polynomial matrices. Some examples are provided to illustrate the proposed methodology." @default.
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• W1511157024 date "2009-10-19" @default.
• W1511157024 modified "2023-09-27" @default.
• W1511157024 title "On the Computation of $pi$-Flat Outputs for Linear Time-Delay Systems" @default.
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