A. Polyakov, Nonlinear feedback design for fixed-time stabilization of linear control systems, IEEE Transactions on Automatic Control, vol.57, issue.8, pp.2106-2110, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00757561

C. Edwards and S. Spurgeon, Sliding mode control: Theory and applications, 1998.

A. Levant, Higher-order sliding modes, differentiation and output feedback control, International Journal of Control, vol.76, issue.9, pp.924-941, 2003.

U. Perez-ventura and L. Fridman, When is it reasonable to implement the discontinuous sliding-mode controllers instead of the continuous ones? Frequency domain criteria, International Journal of Robust and Nonlinear Control, vol.29, issue.3, pp.810-828, 2019.

A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005.

J. Moreno and M. Osorio, Strict Lyapunov functions for the super-twisting algorithm, IEEE Transactions on Automatic Control, vol.57, issue.4, pp.1035-1040, 2012.

S. Ding, A. Levant, and S. Li, Simple homogeneous sliding-mode controller, Automatica, vol.67, pp.22-32, 2016.

E. Cruz-zavala and J. Moreno, Homogeneous high order sliding mode design: A Lyapunov approach, Automatica, vol.80, pp.232-238, 2017.

V. Korobov, A solution of the problem of synthesis using a controllability function, Doklady Academii Nauk SSSR, vol.248, issue.5, pp.1051-1055, 1979.

J. Adamy and A. Fleming, Soft variable-structure controls: a survey, vol.40, pp.1821-1844, 2004.

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time stabilization using implicit Lyapunov function technique, pp.140-145, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00844386

A. Polyakov, D. Efimov, and W. Perruquetti, Sliding mode control design for MIMO systems, Implicit Lyapunov function approach, pp.2612-2617, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01003984

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixed-time stabilization: Implicit Lyapunov function approach, vol.51, pp.332-340, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01098099

A. Polyakov, D. Efimov, and W. Perruquetti, Robust stabilization of MIMO systems in finite/fixed time, International Journal of Robust and Nonlinear Control, vol.26, issue.1, pp.69-90, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01160052

J. Li, H. Wang, D. Niemann, and K. Tanaka, Synthesis of gain-scheduled controller for a class of LPV systems, Proceedings of the 38th IEEE Conference on Decision and Control, pp.2314-2319, 1999.

P. Park and D. Choi, LPV controller design for the nonlinear RTAC system, International Journal of Robust and Nonlinear Control, vol.11, issue.14, pp.1343-1363, 2001.

T. Taniguchi, K. Tanaka, and H. Wang, Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems, IEEE Transactions on Fuzzy Systems, vol.9, issue.4, pp.525-538, 2001.

K. Tanaka and H. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, 2001.

A. Sala and C. Arino, Polynomial fuzzy models for nonlinear control: a Taylor series approach, IEEE Transactions on Fuzzy Systems, vol.17, issue.6, pp.1284-1295, 2009.

S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, vol.15, 1994.

P. Gahinet, A. Nemirovsky, A. Laub, and M. Chilali, LMI control toolbox, Math Works, 1995.

J. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Optimization Methods and Software, vol.11, issue.1-4, pp.625-653, 1999.

C. Edwards, A practical method for the design of sliding mode controllers using linear matrix inequalities, Automatica, vol.40, issue.10, pp.1761-1769, 2004.

H. Choi and K. Ro, LMI-based sliding-mode observer design method, Control Theory and Applications, IEE Proceedings, vol.152, issue.1, pp.113-115, 2005.

A. Tapia, R. Márquez, M. Bernal, and J. Cortez, Sliding subspace design based on linear matrix inequalities, Kybernetika, vol.50, issue.3, pp.436-449, 2014.

R. Márquez, A. Tapia, M. Bernal, and L. Fridman, LMI-based second order sliding set design using reduced order of derivatives, International Journal of Robust and Nonlinear Control, vol.25, issue.18, pp.3763-3779, 2015.

A. Tapia, M. Bernal, and L. Fridman, An LMI approach for second-order sliding set design using piecewise Lyapunov functions, Automatica, vol.79, pp.61-64, 2017.

A. Tapia, M. Bernal, and L. Fridman, Nonlinear sliding mode control design: an LMI approach, Systems & Control Letters, vol.104, pp.38-44, 2017.

C. Ariño and A. Sala, Relaxed LMI conditions for closed-loop fuzzy systems with tensor-product structure, Engineering Applications of Artificial Intelligence, vol.20, issue.8, pp.1036-1046, 2007.

Y. Orlov, Finite time stability and robust control synthesis of uncertain switched systems, SIAM Journal on Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005.

A. Filippov, Differential Equations with Discontinuous Right-hand Sides, 1988.

R. Courant and F. John, Introduction to Calculus and Analysis, 1999.

A. Isidori, Nonlinear Control Systems, 1995.