D. Henrion and J. B. Lasserre, Detecting global optimality and extracting solutions in GloptiPoly Positive Polynomials in Control, Lecture Notes on Control and Information Sciences, vol.312, 2005.

D. Henrion and J. B. 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

J. B. Lasserre, Optimisation globale et th??orie des moments, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.331, issue.11, pp.929-934, 2000.
DOI : 10.1016/S0764-4442(00)01750-X

J. B. Lasserre, Global Optimization with Polynomials and the Problem of Moments, SIAM Journal on Optimization, vol.11, issue.3, pp.796-817, 2001.
DOI : 10.1137/S1052623400366802

J. Nie, Optimality conditions and finite convergence of Lasserre???s hierarchy, Mathematical Programming, 2014.
DOI : 10.1007/s10107-013-0680-x

M. Schweighofer, Optimization of Polynomials on Compact Semialgebraic Sets, SIAM Journal on Optimization, vol.15, issue.3, pp.805-825, 2005.
DOI : 10.1137/S1052623403431779

A. Shapiro and K. Scheinberg, Duality, optimality conditions and perturbation analysis Handbook of Semidefinite Programming. Theory, Algorithms, and Applications, 2000.

M. Trnovská, Strong duality conditions in semidefinite programming, Journal of Electrical Engineering, vol.56, pp.1-5, 2005.

H. Waki, M. Nakata, and M. Muramatsu, Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization, Computational Optimization and Applications, vol.17, issue.12, pp.823-844, 2012.
DOI : 10.1007/s10589-011-9437-8

E. De-klerk, T. Terlaky, and K. Roos, Self-Dual Embeddings Handbook of Semidefinite Programming. Theory, Algorithms , and Applications, 2000.