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Stability and stabilisation of acausal discrete linear repetitive processes
Author(s) -
Galkowski Krzysztof,
Kummert Anton,
Cichy Blazej,
Rogers Eric
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510058
Subject(s) - stability (learning theory) , class (philosophy) , quadratic equation , computer science , control theory (sociology) , order (exchange) , control (management) , mathematics , artificial intelligence , geometry , finance , machine learning , economics
Repetitive processes are a distinct class of two‐dimensional systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. In this paper we introduce a new model for these processes in order to represent dynamics which arise in some applications areas and which are not included in those currently available. Then we proceed to de.ne quadratic stability for this case, obtain conditions for its existence, and also use feedback control to solve a stabilization problem. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)