C. M. Agulhari, R. C. De-oliveira, and P. L. Peres, Robust LMI Parser: a computational package to construct LMI conditions for uncertain systems, XIX Brazilian Conference on Automation, pp.2298-2305, 2012.

P. Baranyi, P. Yam, and . Várlaki, Tensor Product Model Transformation in Polytopic Model-Based Control. Automation and Control Engineering, 2013.

D. F. Coutinho, C. E. De-souza, and A. Trofino, Regional Stability Analysis of Implicit Polynomial Systems, Proceedings of the 45th IEEE Conference on Decision and Control, pp.4224-4229, 2006.
DOI : 10.1109/CDC.2006.377432

M. C. De-oliveira, J. Bernussou, and J. C. , A new discrete-time robust stability condition, Systems & Control Letters, vol.37, issue.4, pp.261-265, 1999.
DOI : 10.1016/S0167-6911(99)00035-3

M. C. De-oliveira and R. E. Skelton, Perspectives in Robust Control, chapter Stability tests for constrained linear systems, Lecture Notes in Control and Information Sciences, pp.241-257, 2001.

Y. Ebihara, D. Peaucelle, and D. Arzelier, S-Variable Approach to LMI-based Robust Control, Communications and Control Engineering, 2015.
DOI : 10.1007/978-1-4471-6606-1
URL : https://hal.archives-ouvertes.fr/hal-01760625

Y. Ebihara, D. Peaucelle, D. Arzelier, and T. Hagiwara, Robust Performance Analysis of Linear Time-Invariant Uncertain Systems by Taking Higher-Order Time-Derivatives of the State, Proceedings of the 44th IEEE Conference on Decision and Control, 2005.
DOI : 10.1109/CDC.2005.1582959

J. C. Geromel, M. C. De-oliveira, and L. Hsu, LMI characterization of structural and robust stability, Linear Algebra and its Applications, vol.285, issue.1-3, pp.68-80, 1998.
DOI : 10.1016/S0024-3795(98)10123-4

, J. Löfberg. YALMIP, 2014.

I. Masubuchi, T. Akiyama, and M. Saeki, Synthesis of output feedback gain-scheduling controllers based on descriptor LPV system representation, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), pp.6115-6120, 2003.
DOI : 10.1109/CDC.2003.1272243

C. F. Morais, M. F. Braga, R. C. Oliveira, and P. L. Peres, ???2 control of discrete-time Markov jump linear systems with uncertain transition probability matrix: improved linear matrix inequality relaxations and multi-simplex modelling, IET Control Theory & Applications, vol.7, issue.12, pp.1665-1674, 2013.
DOI : 10.1049/iet-cta.2012.1015

R. C. Oliveira, P. Bliman, and P. L. Peres, Robust LMIs with parameters in multi-simplex: Existence of solutions and applications, 2008 47th IEEE Conference on Decision and Control, pp.2226-2231, 2008.
DOI : 10.1109/CDC.2008.4739192

R. C. Oliveira and P. L. Peres, A Simple and Less Conservative Test for ${\Bbb D}$-Stability, SIAM Journal on Matrix Analysis and Applications, vol.26, issue.2, pp.415-425, 2005.
DOI : 10.1137/S0895479803433842

D. Peaucelle, D. Arzelier, O. Bachelier, and J. Bernussou, A new robust -stability condition for real convex polytopic uncertainty, Systems & Control Letters, vol.40, issue.1, pp.21-30, 2000.
DOI : 10.1016/S0167-6911(99)00119-X

D. Peaucelle, Y. Ebihara, and Y. Hosoe, Robust observed-state feedback design for discrete-time systems rational in the uncertainties, Automatica, vol.76, pp.96-102, 2017.
DOI : 10.1016/j.automatica.2016.10.003
URL : https://hal.archives-ouvertes.fr/hal-01225068

D. Peaucelle and M. Sato, LMI Tests for Positive Definite Polynomials: Slack Variable Approach, IEEE Transactions on Automatic Control, vol.54, issue.4, pp.886-891, 2009.
DOI : 10.1109/TAC.2008.2010971

C. W. Scherer, Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness, SIAM Journal on Matrix Analysis and Applications, vol.27, issue.2, pp.365-395, 2005.
DOI : 10.1137/S0895479803430953

C. W. Scherer, LMI Relaxations in Robust Control, European Journal of Control, vol.12, issue.1, pp.3-29, 2006.
DOI : 10.3166/ejc.12.3-29

T. C. Toh, M. J. Todd, and R. H. Tutuncu, SDPT3 ??? A Matlab software package for semidefinite programming, Version 1.3, Optimization Methods and Software, vol.79, issue.1-4, pp.545-581, 1999.
DOI : 10.1287/moor.19.1.53

A. Trofino, Robust stability and domain of attraction of uncertain nonlinear systems, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), pp.3707-3711, 2000.
DOI : 10.1109/ACC.2000.879262

A. Trofino and T. J. Dezuo, LMI stability conditions for uncertain rational nonlinear systems, International Journal of Robust and Nonlinear Control, vol.7, issue.1, 2013.
DOI : 10.1016/0005-1098(71)90027-6