caa a22 4500 606206655 CHVBK 20210128101012.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00034-015-0016-6 doi (NATIONALLICENCE)springer-10.1007/s00034-015-0016-6 $$H_{\infty }$$ H ∞ Performance Analysis of 2D Continuous Time-Varying Delay Systems [Elektronische Daten] [Mariem Ghamgui, Nima Yeganefar, Olivier Bachelier, Driss Mehdi] This paper deals with the problem of $$H_{\infty }$$ H ∞ performance analysis of 2D continuous time-varying delay systems described by Roesser model. Using a simple Lyapunov-Krasovskii functional, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained result is then extended to the problem of $$H_{\infty }$$ H ∞ performance analysis. Several examples are provided in order to illustrate the effectiveness of our results. Springer Science+Business Media New York, 2015 2D systems nationallicence Time-varying delay systems nationallicence Lyapunov-Krasovskii functional nationallicence Linear matrix inequality nationallicence Ghamgui Mariem Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering, National School of Engineering of Sfax, BP 1173, 3038, Sfax, Tunisia aut Yeganefar Nima University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France aut Bachelier Olivier University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France aut Mehdi Driss University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/11(2015-11-01), 3489-3504 0278-081X 34:11<3489 2015 34 34 https://doi.org/10.1007/s00034-015-0016-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-0016-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ghamgui Mariem Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering, National School of Engineering of Sfax, BP 1173, 3038, Sfax, Tunisia aut NATIONALLICENCE 700 1- Yeganefar Nima University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France aut NATIONALLICENCE 700 1- Bachelier Olivier University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France aut NATIONALLICENCE 700 1- Mehdi Driss University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/11(2015-11-01), 3489-3504 0278-081X 34:11<3489 2015 34 34