Strong practical stability and stabilization of differential linear repetitive processes

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Strong practical stability and stabilization of differential linear repetitive processes

Differential linear repetitive processes evolve over a subset of the upper-right quadrant of the 2D plane where the unique feature is a series of sweeps or passes through a set of dynamics governed by the solution of a linear matrix differential equation over a finite duration t ∈ [0, α] where α is termed the pass length or duration. On each pass an output, termed the pass profile, is produced,...

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Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes originally consisted of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak and stabi...

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New results on strong practical stability and stabilization of discrete linear repetitive processes

This paper considers two-dimensional (2D) discrete linear systems recursive over the upper right quadrant described by well known state-space models. Included are discrete linear repetitive processes that evolve over subset of this quadrant. A stability theory exists for these processes based on a bounded-input bounded-output approach and there has also been work on the design of stabilizing co...

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Strong practical stability based robust stabilization of uncertain discrete linear repetitive processes

1 Pawel Dabkowski and Krzysztof Galkowski are with the Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University Torun, Poland, [email protected] 2 Krzysztof Galkowski is currently with the University of Wuppertal, Germany as a Gerhard Mercator Guest Professor (DFG) 3 Olivier Bachelier is with LAII, ESIP, University of Poitiers, 40 Avenue du Rec...

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ژورنال

عنوان ژورنال: Systems & Control Letters

سال: 2010

ISSN: 0167-6911

DOI: 10.1016/j.sysconle.2010.08.001