H2 and mixed H2/Hinf Stabilization and disturbance Attenuation for differential linear repetitive processes

W. Paszke, K. Galkowski, E. Rogers, J. Lam

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13 Citations (Scopus)
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Abstract

Repetitive processes are a distinct class of two-dimensional systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. A systems theory for them cannot be obtained by direct extension ofexisting techniques from standard (termed 1-D here) or, in manycases, two-dimensional (2-D) systems theory. Here, we give newresults towards the development of such a theory in H2 and mixedH2/Hinf settings. These results are for the sub-class of so-calleddifferential linear repetitive processes and focus on the fundamentalproblems of stabilization and disturbance attenuation.
Original languageEnglish
Pages (from-to)2813-2826
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume55
Issue number9
DOIs
Publication statusPublished - 2008

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