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Strong practical stability and stabilization of uncertain discrete linear repetitive processes
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SYSNO ASEP 0391865 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Strong practical stability and stabilization of uncertain discrete linear repetitive processes Author(s) Dabkowski, Pavel (UTIA-B) RID
Galkowski, K. (PL)
Bachelier, O. (FR)
Rogers, E. (GB)
Kummert, A. (DE)
Lam, J. (HK)Source Title Numerical Linear Algebra with Applications. - : Wiley - ISSN 1070-5325
Roč. 20, č. 2 (2013), s. 220-233Number of pages 14 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords strong practical stability ; stabilization ; uncertain discrete linear repetitive processes ; linear matrix inequality Subject RIV BC - Control Systems Theory R&D Projects 1M0567 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UTIA-B - RVO:67985556 CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000314985700006 EID SCOPUS 84873688825 DOI 10.1002/nla.812 Annotation 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 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2014
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