, 257462 : HYCON2 Network of Excellence " Highly-Complex and Networked Control Systems " , par le programme de coopération Interreg IVA 2 mers seas Zeeën 2007-2013 sous le projet " SYSIASS 6-20 " , et par le ministère de l'éducation supérieure et de la recherche, le conseil de la région Nord-Pas de Calais et FEDER, pp.2007-2013, 2007.

, Bibliographie

N. Bauer, P. Maas, and W. Heemels, Stability analysis of networked control systems: A sum of squares approach, Automatica, vol.48, issue.8, pp.1514-1524, 2012.
DOI : 10.1016/j.automatica.2012.05.023

S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, 1994.
DOI : 10.1137/1.9781611970777

V. Chellaboina and W. M. Haddad, Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness, Mathematical Problems in Engineering, vol.1, pp.25-45, 2003.

C. Fiter, L. Hetel, W. Perruquetti, and J. R. Richard, A state dependent sampling for linear state feedback, Automatica, vol.48, issue.8, pp.1860-1867, 2012.
DOI : 10.1016/j.automatica.2012.05.063

URL : https://hal.archives-ouvertes.fr/hal-00685345

E. Fridman, A refined input delay approach to sampled-data control, Automatica, vol.46, issue.2, pp.421-427, 2010.
DOI : 10.1016/j.automatica.2009.11.017

E. Fridman, A. Seuret, and J. Richard, Robust sampled-data stabilization of linear systems: an input delay approach, Automatica, vol.40, issue.8, pp.1441-1446, 2004.
DOI : 10.1016/j.automatica.2004.03.003

URL : https://hal.archives-ouvertes.fr/inria-00131031

H. Fujioka, Stability analysis of systems with aperiodic sample-and-hold devices, Automatica, vol.45, issue.3, pp.771-775, 2009.
DOI : 10.1016/j.automatica.2008.10.017

L. Hetel, A. Kruszewski, W. Perruquetti, and J. Richard, Discrete and Intersample Analysis of Systems With Aperiodic Sampling, IEEE Transactions on Automatic Control, vol.56, issue.7, pp.1696-1701, 2011.
DOI : 10.1109/TAC.2011.2122690

URL : https://hal.archives-ouvertes.fr/hal-00576366

I. Karafyllis and C. Kravaris, Global stability results for systems under sampled-data control, International Journal of Robust and Nonlinear Control, vol.34, issue.1, pp.1105-1128, 2008.
DOI : 10.1016/0167-6911(91)90135-2

URL : http://arxiv.org/pdf/math/0612233

I. Karafyllis and C. Kravaris, Robust global stabilisability by means of sampled-data control with positive sampling rate, International Journal of Control, vol.49, issue.4, pp.755-772, 2009.
DOI : 10.1016/S0167-6911(02)00324-9

H. K. Khalil, Nonlinear systems, 2002.

L. Mirkin, Some Remarks on the Use of Time-Varying Delay to Model Sample-and-Hold Circuits, IEEE Transactions on Automatic Control, vol.52, issue.6, pp.1109-1112, 2007.
DOI : 10.1109/TAC.2007.899053

D. Ne?i´cne?i´c, A. Teel, and D. Carnevale, Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems, IEEE Transactions on Automatic Control, vol.54, issue.3, pp.619-624, 2009.
DOI : 10.1109/TAC.2008.2009597

H. Omran, L. Hetel, and J. Richard, Local Stability of Bilinear Systems with Asynchronous Sampling***, The 4th ifac conference on analysis and design of hybrid systems, 2012.
DOI : 10.3182/20120606-3-NL-3011.00015

URL : https://hal.archives-ouvertes.fr/hal-00683552

A. Papachristodoulou and S. Prajna, A tutorial on sum of squares techniques for systems analysis, Proceedings of the 2005, American Control Conference, 2005., pp.2686-2700, 2005.
DOI : 10.1109/ACC.2005.1470374

P. A. Parrilo, Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization, Thèse de doctorat non publiée, California Institute of Technology, 2000.

A. Seuret, A novel stability analysis of linear systems under asynchronous samplings, Automatica, vol.48, issue.1, pp.177-182, 2012.
DOI : 10.1016/j.automatica.2011.09.033

URL : https://hal.archives-ouvertes.fr/hal-00610561

S. Prajna, A. P. Parrilo, and P. A. , Introducing SOSTOOLS: a general purpose sum of squares programming solver, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., pp.741-746, 2002.
DOI : 10.1109/CDC.2002.1184594

J. Willems, Dissipative dynamical systems. part i: general theory. Archive for Rational Mechanics and Analysis, pp.321-351, 1972.