caa a22 4500 445360984 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9795-2 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9795-2 Robust stability of uncertain piecewise-linear systems: LMIapproach [Elektronische Daten] [Abdallah BenAbdallah, Mohamed Hammami, Jalel Kallel] In this paper we propose sufficient conditions for the robust stability of time-invariant uncertain piecewise-linear systems using homogeneous polynomial Lyapunov functions. The proposed conditions are expressed in terms of linear matrix inequalities, which can be numerically determined. We solve the stabilization of piecewise uncertain linear control systems by using state piecewise-linear feedback. We propose an illustrative example to show the efficiency of the proposed approach. Springer Science+Business Media B.V., 2010 Robust stability nationallicence Piecewise uncertain linear systems nationallicence Lyapunov function nationallicence Linear matrix inequalities nationallicence BenAbdallah Abdallah Département de Mathématiques, Institut Supérieur d'Informatique et du Multimédia de Sfax, Sfax, Tunisia aut Hammami Mohamed Faculté des Sciences de Sfax, Département de Mathématiques, 3000, Sfax, BP 1171, Tunisia aut Kallel Jalel Département de Mathématiques, Institut Préparatoire Aux Etudes d'Ingénieurs de Sfax, Sfax, Tunisia aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 183-192 0924-090X 63:1-2<183 2011 63 11071 https://doi.org/10.1007/s11071-010-9795-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9795-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- BenAbdallah Abdallah Département de Mathématiques, Institut Supérieur d'Informatique et du Multimédia de Sfax, Sfax, Tunisia aut NATIONALLICENCE 700 1- Hammami Mohamed Faculté des Sciences de Sfax, Département de Mathématiques, 3000, Sfax, BP 1171, Tunisia aut NATIONALLICENCE 700 1- Kallel Jalel Département de Mathématiques, Institut Préparatoire Aux Etudes d'Ingénieurs de Sfax, Sfax, Tunisia aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 183-192 0924-090X 63:1-2<183 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer