Displaying similar documents to “Some remarks on the Brunovsky canonical form”

Differential flatness and defect: an overview

Michel Fliess, Jean Lévine, Philippe Martin, Pierre Rouchon (1995)

Banach Center Publications

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We introduce flat systems, which are equivalent to linear ones via a special type of feedback called endogenous. Their physical properties are subsumed by a linearizing output and they might be regarded as providing another nonlinear extension of Kalman's controllability. The distance to flatness is measured by a non-negative integer, the defect. We utilize differential algebra which suits well to the fact that, in accordance with Willems' standpoint, flatness and defect are best defined...

An efficient computation of the solution of the block decoupling problem with coefficient assignment over a ring

Jean Assan, Anna Maria Perdon (1999)

Kybernetika

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The paper presents procedures to check solvability and to compute solutions to the Block Decoupling Problem over a Noetherian ring and procedures to compute a feedback law that assigns the coefficients of the compensated system while mantaining the decoupled structure over a Principal Ideal Domain. The algorithms have been implemented using MapleV® and CoCoA [CoCoA].

Poles and zeroes of nonlinear control systems

Jean-François Pommaret (2002)

Kybernetika

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During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct,...