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Article: Strong practical stability and stabilization of uncertain discrete linear repetitive processes

TitleStrong practical stability and stabilization of uncertain discrete linear repetitive processes
Authors
KeywordsLinear Matrix Inequality
Stabilization
Strong Practical Stability
Uncertain Discrete Linear Repetitive Processes
Issue Date2013
Citation
Numerical Linear Algebra With Applications, 2013, v. 20 n. 2, p. 220-233 How to Cite?
AbstractRepetitive 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 stability along the pass is too strong for meaningful progress to be made. This, in turn, has led to the concept of strong practical stability for such cases, where previous work has formulated this property and obtained necessary and sufficient conditions for its existence together with Linear Matrix Inequality based tests, which then extend to allow robust control law design. This paper develops considerably simpler, and hence computationally more efficient, stability tests that also extend to allow control law design. © 2011 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/157152
ISSN
2015 Impact Factor: 1.431
2015 SCImago Journal Rankings: 1.250
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorDabkowski, Pen_US
dc.contributor.authorGalkowski, Ken_US
dc.contributor.authorBachelier, Oen_US
dc.contributor.authorRogers, Een_US
dc.contributor.authorKummert, Aen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:45:33Z-
dc.date.available2012-08-08T08:45:33Z-
dc.date.issued2013en_US
dc.identifier.citationNumerical Linear Algebra With Applications, 2013, v. 20 n. 2, p. 220-233en_US
dc.identifier.issn1070-5325en_US
dc.identifier.urihttp://hdl.handle.net/10722/157152-
dc.description.abstractRepetitive 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 stability along the pass is too strong for meaningful progress to be made. This, in turn, has led to the concept of strong practical stability for such cases, where previous work has formulated this property and obtained necessary and sufficient conditions for its existence together with Linear Matrix Inequality based tests, which then extend to allow robust control law design. This paper develops considerably simpler, and hence computationally more efficient, stability tests that also extend to allow control law design. © 2011 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.relation.ispartofNumerical Linear Algebra with Applicationsen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectStabilizationen_US
dc.subjectStrong Practical Stabilityen_US
dc.subjectUncertain Discrete Linear Repetitive Processesen_US
dc.titleStrong practical stability and stabilization of uncertain discrete linear repetitive processesen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/nla.812en_US
dc.identifier.scopuseid_2-s2.0-84873688825en_US
dc.identifier.hkuros223491-
dc.identifier.isiWOS:000314985700006-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridDabkowski, P=26430833200en_US
dc.identifier.scopusauthoridGalkowski, K=7003620439en_US
dc.identifier.scopusauthoridBachelier, O=6603434144en_US
dc.identifier.scopusauthoridRogers, E=7202060289en_US
dc.identifier.scopusauthoridKummert, A=7003293794en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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