0391865 20240103202508.220130419235959.9 000314985700006 84873688825 10.1002/nla.812 14 s. P cav_un_epca*02573451070-5325202 (2013)220-233Wiley strong practical stability stabilization uncertain discrete linear repetitive processes linear matrix inequality cav_un_auth*0285405 Dabkowski Pavel Teorie řízení Department of Control Theory TŘ TR UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0243459 Galkowski K. PL cav_un_auth*0212659 Bachelier O. FR cav_un_auth*0228702 Rogers E. GB cav_un_auth*0290711 Kummert A. DE cav_un_auth*0285407 Lam J. HK http://onlinelibrary.wiley.com/doi/10.1002/nla.812/abstract 1M0567 GA MŠk CZ cav_un_auth*0202350 CEZ:AV0Z10750506 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. 2014 BC RVO:67985556 http://hdl.handle.net/11104/0220845 MATHEMATICS|MATHEMATICSAPPLIED 1.466 0.629 7.VIII 0.00485 1.083 1091 62 1.169 ScienceCitationIndex Q1 83.972 89.599 Q1 Q2 2013 84873688825 SCOPUS 000314985700006 WOS cav_un_epca*0257345 Numerical Linear Algebra with Applications 1070-5325 1099-1506 Roč. 20 č. 2 2013 220 233 Wiley