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Stability and stabilization of a class of multimode linear discrete-time systems with polytopic uncertainties / Zhang, Lixian in IEEE transactions on industrial electronics, Vol. 56 N° 9 (Septembre 2009) 

Public ISBD [article]  in IEEE transactions on industrial electronics > Vol. 56 N° 9 (Septembre 2009) . - pp. 3684-3692 Titre : Stability and stabilization of a class of multimode linear discrete-time systems with polytopic uncertainties Type de document : texte imprimé Auteurs : Zhang, Lixian, Auteur ; Wang, Changhong, Auteur ; Chen, Lingjie, Auteur Article en page(s) : pp. 3684-3692 Note générale : Génie électrique Langues : Anglais (eng) Mots-clés : Multimode  systems  Polytopic  uncertainties Index. décimale : 621 Ingénierie mécanique en général. Technologie nucléaire. Ingénierie électrique. Machinerie Résumé : In this paper, the problems of stability and stabilization of a class of multimode systems, which are switched linear discrete-time systems with polytopic uncertainties, are investigated. Two types of switching, including fast and slow switchings, among the modes of systems are considered. The construction of multiple parameter-dependent quadratic Lyapunov-like functions is invoked, by which the stability and stabilization conditions are derived and formulated in terms of a set of linear matrix inequalities. The case of switched systems under fast switching, i.e., arbitrary switching is first studied, and the corresponding results are extended to the case of slow switching, i.e., average dwell time switching. The less conservativeness of the obtained results is illustrated by numerical examples. The applicability and effectiveness of the theoretical findings are also verified by a two-mass-spring mechanical system. DEWEY : 621 ISSN : 0278-0046 En ligne : http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=5200775&arnumber=5156278 [...] [article] Stability and stabilization of a class of multimode linear discrete-time systems with polytopic uncertainties [texte imprimé] / Zhang, Lixian, Auteur ; Wang, Changhong, Auteur ; Chen, Lingjie, Auteur . - pp. 3684-3692. Génie électrique Langues : Anglais (eng) in IEEE transactions on industrial electronics > Vol. 56 N° 9 (Septembre 2009) . - pp. 3684-3692 Mots-clés : Multimode  systems  Polytopic  uncertainties Index. décimale : 621 Ingénierie mécanique en général. Technologie nucléaire. Ingénierie électrique. Machinerie Résumé : In this paper, the problems of stability and stabilization of a class of multimode systems, which are switched linear discrete-time systems with polytopic uncertainties, are investigated. Two types of switching, including fast and slow switchings, among the modes of systems are considered. The construction of multiple parameter-dependent quadratic Lyapunov-like functions is invoked, by which the stability and stabilization conditions are derived and formulated in terms of a set of linear matrix inequalities. The case of switched systems under fast switching, i.e., arbitrary switching is first studied, and the corresponding results are extended to the case of slow switching, i.e., average dwell time switching. The less conservativeness of the obtained results is illustrated by numerical examples. The applicability and effectiveness of the theoretical findings are also verified by a two-mass-spring mechanical system. DEWEY : 621 ISSN : 0278-0046 En ligne : http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=5200775&arnumber=5156278 [...]