C. Bouarar, Static Output Feedback controller design for Takagi-Sugeno systems - a Fuzzy Lyapunov LMI approach, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009.
DOI : 10.1109/CDC.2009.5400952

. Boyd, Linear matrix inequalities in system and control theory Siam, 1994.

C. Chen, Mixed 2 H H ? fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach, IEEE Transactions on Fuzzy System, vol.14, issue.4, 2000.

. Chadli, Nonquadratic stability analysis of Takagi-Sugeno models, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2002.
DOI : 10.1109/CDC.2002.1184847
URL : https://hal.archives-ouvertes.fr/hal-00201454

]. D. Cobb, Feedback and pole placement in descriptor variable Systems???, International Journal of Control, vol.30, issue.6, pp.1135-1146, 1981.
DOI : 10.1080/00207178108922981

]. D. Cobb, Descriptor variable systems and optimal state regulation, IEEE Transactions on Automatic Control, vol.28, issue.5, pp.601-611, 1983.
DOI : 10.1109/TAC.1983.1103283

D. Dai and ]. L. Dai, Singular control systems, Lecture Notes in Control and Information Sciences, vol.118, pp.12-45, 1989.
DOI : 10.1007/BFb0002475

. Delmotte, Continous Takagi- Sugeno's models: reduction of the number of LMI conditions in various fuzzy control design techniques, IEEE Transactions on Fuzzy Systems, vol.15, issue.3, 2007.

. Delmotte, Discerte Takagi- Sugeno's models: reduction of the number of LMI conditions in fuzzy control techniques, IEEE Transactions on Fuzzy Systems, vol.38, issue.5, 2008.

. Ding, ]. B. Huang, B. Ding, and . Huang, Stabilization of Takagi-Sugeno Model via Nonparallel Distributed Compensation Law, 7th World Congress on Intelligent Control and Automation, 2008.

D. , Y. Dong, and G. H. Yang, Dynamic output feedback H ? control synthesis for discrete-time T?S fuzzy systems via switching fuzzy controllers, Fuzzy Sets and Systems, vol.160, pp.482-499, 2009.
DOI : 10.1016/j.fss.2008.04.009

]. Hermes, Diagnostic et reconnaissance des formes, 1990.

. Guelton, Comments on Fuzzy Control Systems Design via Fuzzy Lyapunov Functions, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol.40, issue.3, pp.10-1109, 2009.
DOI : 10.1109/TSMCB.2009.2033807
URL : https://hal.archives-ouvertes.fr/hal-00793239

. Guerra, Lois de commande pour systèmes flous continus Lois de commande pour systèmes flous continus, Journal Européen des Systèmes Automatisés, vol.33, issue.4, pp.489-527, 1999.

]. T. Guerra-et-vermeiren, L. Guerra, and . Vermeiren, LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi???Sugeno's form, Automatica, vol.40, issue.5, pp.823-829, 2004.
DOI : 10.1016/j.automatica.2003.12.014

. Guerra, Conditions of output stabilization for nonlinear models in the Takagi???Sugeno's form, Fuzzy Sets and Systems, vol.157, issue.9, pp.1248-1259, 2006.
DOI : 10.1016/j.fss.2005.12.006

. Guerra, A way to improve results for the stabilization of continous-time fuzzy descriptor models, 46th IEEE Conference on Decision and Control, pp.12-14, 2007.

. Guerra, ]. T. Bernal, M. Guerra, and . Bernal, A way to escape from the quadratic framework, 2009 IEEE International Conference on Fuzzy Systems, 2009.
DOI : 10.1109/FUZZY.2009.5277291

H. Han, Dynamic output feedback controller design for fuzzy systems Stabilization of LPV Systems, Henrion et Garulli, 2000.

]. C. Huang, Stability analysis of discrete singular fuzzy systems " , Fuzzy sets and systems, pp.155-165, 2005.

]. D. Huang-et-nguang, S. K. Huang, and . Nguang, Robust H/sub /spl infin// static output feedback control of fuzzy systems: an ILMI approach, IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), vol.36, issue.1, pp.216-222, 2006.
DOI : 10.1109/TSMCB.2005.856145

]. D. Huang-et-nguang, S. K. Huang, and . Nguang, Static output feedback controller design for fuzzy systems: An ILMI approach, Information Sciences, vol.177, issue.14, pp.3005-3015, 2007.
DOI : 10.1016/j.ins.2007.02.014

J. Jabri, Fuzzy Lyapunov decentralized control of Takagi-Sugeno interconnected descriptors, 2009 IEEE Symposium on Computational Intelligence in Control and Automation, 2009.
DOI : 10.1109/CICA.2009.4982780

. Jabri, H??? Based Decentralized Fuzzy Lyapunov Controller Design for Takagi-Sugeno Interconnected Descriptors, 2nd IFAC International Conference on Intelligent Control Systems and Signal Processing, 2009.
DOI : 10.3182/20090921-3-TR-3005.00069

]. A. Jadbabaie, A reduction in conservatism in stability and 2 L gain analysis of Takagi-Sugeno fuzzy systems via linear matrix inequalities, 14th IFAC Triennal World Congress, pp.285-289, 1999.

. Ji, Stabilization of a Class of Fuzzy Control Systems via Piecewise Fuzzy Lyapunov Function Approach, 2007 American Control Conference, pp.4065-4070, 2007.
DOI : 10.1109/ACC.2007.4282327

]. M. Johansson, Piecewise linear control systems, 1999.
DOI : 10.1007/3-540-36801-9

. Johansson, Piecewise quadratic stability of fuzzy systems, IEEE Transactions on Fuzzy Systems, vol.7, issue.6, pp.713-722, 1999.
DOI : 10.1109/91.811241

K. Kau, Robust fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties, Fuzzy Sets and Systems, pp.158-135, 2007.
DOI : 10.1016/j.fss.2006.09.010

. Kawamoto, An approach to stability analysis of second order fuzzy systems, [1992 Proceedings] IEEE International Conference on Fuzzy Systems, pp.1427-1434, 1992.
DOI : 10.1109/FUZZY.1992.258713

]. H. Khalil, Nonlinear systems, 1996.

]. W. Khalil-et-dombre, E. Khalil, and . Dombre, Modélisation identification et commande des robots, 1999.

L. Kim, H. Kim, and . Lee, New approaches to relaxed quadratic stability condition of fuzzy control systems, Transactions on Fuzzy Systems, issue.8, pp.523-533, 2000.

. Kumar, ]. A. Daoutidis, P. Kumar, and . Daoutidis, State-space realizations of linear differential-algebraic-equation systems with control-dependent state space, IEEE Transactions on Automatic Control, vol.41, issue.2, pp.269-274, 1995.
DOI : 10.1109/9.481546

L. Lam, ]. H. Leung, F. H. Lam, and . Leung, LMI based stability and performance conditions for continuous time nonlinear systems in Takagi-Sugeno's form, International Conference on Fuzzy Systems, 2006.
DOI : 10.1109/fuzzy.2006.1681980
URL : http://ira.lib.polyu.edu.hk/bitstream/10397/1430/1/LMI-based%20stability_07.pdf

. Lee, Output feedback robust H ? control of uncertain fuzzy dynamic systems with time-varying delay, IEEE Trans. Fuzzy Systems, vol.8, issue.6, pp.657-664, 2000.

. Li, Dynamic parallel distributed compensation for Takagi???Sugeno fuzzy systems: An LMI approach, Information Sciences, vol.123, issue.3-4, pp.201-221, 2000.
DOI : 10.1016/S0020-0255(99)00129-2

A. Liapounoff, Probl??me g??n??ral de la stabilit?? du mouvement, Annales de la faculté des sciences de Toulouse, pp.203-474, 1907.
DOI : 10.5802/afst.246

]. D. Liberzon, Switching in systems and control, Edition Boston Birkauser, 2003.
DOI : 10.1007/978-1-4612-0017-8

]. C. Lin, On the stability of uncertain linear descriptor systems, Journal of the Franklin Institute, vol.336, issue.3, pp.549-564, 1999.
DOI : 10.1016/S0016-0032(98)00041-6

L. Et-er, ]. D. Lin, and M. J. Er, A new approach for stabilising nonlinear systems with time delay, European Control Conference, 2001.

. Lin, Stability and stabilization of a class of fuzzy time-delay descriptor systems, Transactions on Fuzzy Systems, vol.14, issue.4, 2006.

X. Et-qingling, ]. L. Xiaodong, and Z. Qingling, New approaches to H ? controller designs based on fuzzy observers for T-S fuzzy systems via LMI, Automatica, vol.39, issue.9, pp.1571-1582, 2003.

. Liu, An LMI-Based stable T-S fuzzy model with parametric uncertainties using Multiple Lyapunov Function approach, Conference on Cybernetics and Intelligent Systems, pp.1-3, 2004.

]. D. Luenberger, Dynamic equations in descriptor form, IEEE Transactions on Automatic Control, vol.22, issue.3, pp.312-321, 1977.
DOI : 10.1109/TAC.1977.1101502

M. Ma, Analysis and design of fuzzy controller and fuzzy observer, Transactions on Fuzzy Systems, vol.6, issue.1, pp.41-50, 1998.

S. P. Ma, J. Ma, and . Sun, Robust stabilization of uncertain T-S fuzzy descriptor systems, rd IEEE International Conference on Machine Learning and Cybernetics, 2004.

M. Et-ragot, ]. B. Marx, and J. Ragot, Controller and observer designs for a class of TS descriptor systems with pole placement constraint, 45th IEEE Conference on Decision and Control, 2006.

M. Et-ragot, ]. B. Marx, and J. Ragot, Stability and 2 L norm bound conditions for Takagi-Sugeno descriptor systems, IFAC World Congress, 2008.

. Masubushi, H??? control for descriptor systems: A matrix inequalities approach, Automatica, vol.33, issue.4, pp.669-673, 1997.
DOI : 10.1016/S0005-1098(96)00193-8

]. J. Morlet, Les robots parallèles Edition Paris Hermès, 1997.

. Nachidi, Static output-feedback stabilization for time-delay Takagi-Sugeno fuzzy systems, 2007 46th IEEE Conference on Decision and Control, 2007.
DOI : 10.1109/CDC.2007.4434603

O. Oustaloup, ]. A. Mathieu, B. Oustaloup, and . Mathieu, La commande crone, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00182806

. Othake, Piecewise nonlinear control, 42 th Conference on Decision and Control, 2003.

P. Peaucelle and ]. D. Peaucelle, Modèles descripteurs redondants et réduction du pessimisme des Conditions LMI, JN MACS, 2007.

R. M. Redheffer, On a Certain Linear Fractional Transformation, Journal of Mathematics and Physics, vol.65, issue.1-4, pp.269-286, 1960.
DOI : 10.1002/sapm1960391269

. Rejichi, Admissibility and state feedback admissibilization of discrete singular systems : An LMI approach, 2008 16th Mediterranean Conference on Control and Automation, 2008.
DOI : 10.1109/MED.2008.4602198

]. J. Ren, Non fragile LQ fuzzy control for a class of nonlinear descriptor system with time delays, th International Conference on Machine Learning and Cybernetics, 2005.

]. B. Rhee and S. Won, A new fuzzy Lyapunov function approach for a Takagi???Sugeno fuzzy control system design, Fuzzy Sets and Systems, vol.157, issue.9, pp.1211-1228, 2006.
DOI : 10.1016/j.fss.2005.12.020