G. Blekherman, P. A. Parrilo, and R. R. Thomas, Semidefinite optimization and convex algebraic geometry, SIAM, 2013.
DOI : 10.1137/1.9781611972290

P. Bliman, A Convex Approach to Robust Stability for Linear Systems with Uncertain Scalar Parameters, SIAM Journal on Control and Optimization, vol.42, issue.6, pp.2016-2042, 2004.
DOI : 10.1137/S0363012901398691
URL : https://hal.archives-ouvertes.fr/inria-00072271

G. Chesi, Estimating the domain of attraction for uncertain polynomial systems, Automatica, vol.40, issue.11, pp.1981-1986, 2004.
DOI : 10.1016/j.automatica.2004.06.014

G. Chesi, Domain of Attraction: Analysis and Control via SOS Programming. Number 415 in Lecture Notes in Control and Information Sciences, 2011.
DOI : 10.1007/978-0-85729-959-8

G. Chesi, Rational Lyapunov functions for estimating and controlling the robust domain of attraction, Automatica, vol.49, issue.4, pp.1051-1057, 2013.
DOI : 10.1016/j.automatica.2013.01.032

H. Chiang, M. W. Hirsch, and F. F. Wu, Stability regions of nonlinear autonomous dynamical systems, IEEE Transactions on Automatic Control, vol.33, issue.1, pp.16-27, 1988.
DOI : 10.1109/9.357

P. Gahinet, P. Apkarian, and M. Chilali, Affine parameter-dependent Lyapunov functions and real parametric uncertainty, IEEE Transactions on Automatic Control, vol.41, issue.3, pp.436-442, 1996.
DOI : 10.1109/9.486646

D. Henrion and J. Lasserre, Inner Approximations for Polynomial Matrix Inequalities and Robust Stability Regions, IEEE Transactions on Automatic Control, vol.57, issue.6, pp.1456-1467, 2012.
DOI : 10.1109/TAC.2011.2178717
URL : https://hal.archives-ouvertes.fr/hal-00588754

H. K. Khalil, Nonlinear systems, 2002.

J. B. Lasserre, Moments, Positive Polynomials and Their Applications, 2009.
DOI : 10.1142/p665

R. C. Oliveira and P. L. Peres, Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations, IEEE Transactions on Automatic Control, vol.52, issue.7, pp.1334-1340, 2007.
DOI : 10.1109/TAC.2007.900848

A. Papachristodoulou, J. Anderson, G. Valmorbida, S. Prajna, P. Seiler et al., SOSTOOLS: Sum of squares optimization toolbox for MATLAB V3, p.0, 2013.

P. A. Parrilo, Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, 2000.

J. F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, pp.11-12625, 1999.
DOI : 10.1080/10556789908805766
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.6954

W. Tan and A. Packard, Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming, IEEE Transactions on Automatic Control, vol.53, issue.2, pp.565-571, 2008.
DOI : 10.1109/TAC.2007.914221

U. Topcu and A. Packard, Local Stability Analysis for Uncertain Nonlinear Systems, IEEE Transactions on Automatic Control, vol.54, issue.5, pp.1042-1047, 2009.
DOI : 10.1109/TAC.2009.2017157

U. Topcu, A. Packard, P. Seiler, and G. J. Balas, Robust Region-of-Attraction Estimation, IEEE Transactions on Automatic Control, vol.55, issue.1, pp.137-142, 2010.
DOI : 10.1109/TAC.2009.2033751

G. Valmorbida and J. Anderson, Region of attraction analysis via invariant sets, 2014 American Control Conference, pp.3591-3596, 2014.
DOI : 10.1109/ACC.2014.6859263

L. Vandenberghe and S. Boyd, Semidefinite programming. SIAM review, pp.49-95, 1996.

A. Vannelli and M. Vidyasagar, Maximal lyapunov functions and domains of attraction for autonomous nonlinear systems, Automatica, vol.21, issue.1, pp.69-80, 1985.
DOI : 10.1016/0005-1098(85)90099-8

T. C. Wang, S. Lall, and T. Y. Chiou, Polynomial Method for PLL Controller Optimization, Sensors, vol.532, issue.12, pp.6575-6592, 2011.
DOI : 10.1512/iumj.1993.42.42045
URL : http://doi.org/10.3390/s110706575

V. I. Zubov, Methods of AM Lyapunov and their Application, Noordhoff Groningen, 1964.