Problem 2] concerne la description d'un ensemble semi-algébriquè a l'aide d'un nombre minimum d'inégalités polynomiales et les liens existant avec les relaxations LMI desprobì emes d'optimisation polynomiale mentionnées ,
Multi-objective H2/H???/Impulse-to-Peak Control of a Space Launch Vehicle, European Journal of Control, vol.12, issue.1, pp.57-70, 2006. ,
DOI : 10.3166/ejc.12.57-70
New tools for robustness of linear systems, 1994. ,
Algorithms in real algebraic geometry, 2005. ,
DOI : 10.1007/978-3-662-05355-3
URL : https://hal.archives-ouvertes.fr/hal-01083587
ROBUST CONTROL: THE PARAMETRIC APPROACH, 1995. ,
DOI : 10.1016/B978-0-08-042230-5.50016-5
Simultaneous stabilization of linear systems, 1994. ,
DOI : 10.1007/3-540-19862-8
A survey of computational complexity results in systems and control, Automatica, vol.36, issue.9, pp.1249-1274, 2000. ,
DOI : 10.1016/S0005-1098(00)00050-9
A bisection method for computing the H??? norm of a transfer matrix and related problems, Mathematics of Control, Signals, and Systems, vol.28, issue.3, pp.207-219, 1989. ,
DOI : 10.1007/BF02551385
Linear controller design : limits of performance, 1991. ,
Convex optimization, 2005. ,
HIFOO - A MATLAB PACKAGE FOR FIXED-ORDER CONTROLLER DESIGN AND H??? OPTIMIZATION, Proceedings of the IFAC Symposium on Robust Control Design, 2006. ,
DOI : 10.3182/20060705-3-FR-2907.00059
Stabilization via Nonsmooth, Nonconvex Optimization, IEEE Transactions on Automatic Control, vol.51, issue.11, pp.1760-1769, 2006. ,
DOI : 10.1109/TAC.2006.884944
Note on the reduction of a ternary quantic to a symmetrical determinant, Proceedings of the Cambridge Philosophical Society, vol.11, pp.350-351, 1902. ,
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems, IEEE Transactions on Automatic Control, vol.34, issue.8, pp.831-846, 1989. ,
DOI : 10.1109/9.29425
Sur les systèmes nonlinéaires différentiellement plats, Comptes Rendus de l'Académie des Sciences de Paris, pp.619-624, 1992. ,
Behavioral measures and their correlation with IPM iteration counts on semi-definite programming problems, Mathematical Programming, vol.95, issue.2, pp.445-475, 2007. ,
DOI : 10.1007/s10107-006-0035-y
Theory of matrices Original version published in Russian, AMS, vol.2, 1959. ,
Positivity and Linear Matrix Inequalities, European Journal of Control, vol.8, issue.3, pp.275-298, 2002. ,
DOI : 10.3166/ejc.8.275-298
Polynomial LPV synthesis applied to turbofan engines, Proceedings of the IFAC Symposium on Automatic Control in Aerospace, 2007. ,
Global optimization for the Biaffine Matrix Inequality problem, Journal of Global Optimization, vol.24, issue.4, pp.365-380, 1995. ,
DOI : 10.1007/BF01099648
Stabilité des systèmes linéaires incertainsàincertainsà commande contrainte, Thèse de doctorat, Institut National des Sciences Appliquées de, 1999. ,
Positive polynomial matrices and improved LMI robustness conditions, Automatica, vol.39, issue.8, pp.1479-1485, 2003. ,
DOI : 10.1016/S0005-1098(03)00129-8
Positive polynomials and robust stabilization with fixed-order controllers, IEEE Transactions on Automatic Control, vol.48, issue.7, pp.1178-1186, 2003. ,
DOI : 10.1109/TAC.2003.814103
GloptiPoly, ACM Transactions on Mathematical Software, vol.29, issue.2, pp.165-194, 2003. ,
DOI : 10.1145/779359.779363
URL : https://hal.archives-ouvertes.fr/hal-00578944
Detecting Global Optimality and Extracting Solutions in GloptiPoly ,
DOI : 10.1007/10997703_15
Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback, IEEE Transactions on Automatic Control, vol.51, issue.2, pp.192-202, 2006. ,
DOI : 10.1109/TAC.2005.863494
Linear matrix inequality representation of sets, Communications on Pure and Applied Mathematics, vol.289, issue.5, pp.654-674, 2007. ,
DOI : 10.1002/cpa.20155
Special issue on computer-aided design of control systems, IEEE Control Systems Magazine, vol.2, issue.4, 1982. ,
Accuracy and stability of numerical algorithms, SIAM, 1996. ,
DOI : 10.1137/1.9780898718027
Permanently Going Back and Forth between the ``Quadratic World'' and the ``Convexity World'' in Optimization, Applied Mathematics and Optimization, vol.45, issue.2, pp.169-184, 2002. ,
DOI : 10.1007/s00245-001-0034-6
Potpourri of Conjectures and Open Questions in Nonlinear Analysis and Optimization, SIAM Review, vol.49, issue.2, pp.255-273, 2007. ,
DOI : 10.1137/050633500
URL : https://hal.archives-ouvertes.fr/hal-00635746
Linear systems, 1980. ,
Globally Optimal Estimates for Geometric Reconstruction Problems, International Journal of Computer Vision, vol.20, issue.7, pp.3-15, 2007. ,
DOI : 10.1007/s11263-006-0015-y
Robust H?? Fixed Order Control Strategies for Large Scale Web Winding Systems, IEEE International Symposium on Intelligent Control, 2006. ,
DOI : 10.1109/ISIC.2006.285637
Fixed-Order H<sub>∞</sub> Decentralized Control with Model Based Feedforward for Elastic Web Winding Systems, Conference Record of the 2006 IEEE Industry Applications Conference Forty-First IAS Annual Meeting, 2006. ,
DOI : 10.1109/IAS.2006.256701
PENNON : a code for convex nonlinear and semidefinite programming, Optimization Methods and Software, vol.8, issue.3, pp.317-333, 2003. ,
A nonlinear SDP algorithm for static output feedback problems in COMPLIB, Proceedings of the IFAC World Congress on Automatic Control, 2005. ,
Discrete linear control -the polynomial equation approach, 1979. ,
Analysis and design of discrete linear control systems, 1991. ,
Robust control and H???-optimization???Tutorial paper, Automatica, vol.29, issue.2, pp.255-273, 1993. ,
DOI : 10.1016/0005-1098(93)90122-A
SEDUMI INTERFACE 1.02: a tool for solving LMI problems with SEDUMI, Proceedings. IEEE International Symposium on Computer Aided Control System Design, 2002. ,
DOI : 10.1109/CACSD.2002.1036966
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
Nonlinear optimal control: approximations via moments and LMI-relaxations, Proceedings of the 44th IEEE Conference on Decision and Control, 2005. ,
DOI : 10.1109/CDC.2005.1582395
YALMIP : a toolbox for modeling and optimization in MATLAB, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508), 2004. ,
DOI : 10.1109/CACSD.2004.1393890
Interior point polynomial algorithms in convex programming, SIAM, 1994. ,
Stability theory Original version published in German, 1981. ,
Semidefinite programming relaxations for semialgebraic problems, Mathematical Programming, vol.96, issue.2, pp.293-320, 2003. ,
DOI : 10.1007/s10107-003-0387-5
Robust multi-objective control toolbox, Proceedings of the IEEE Symposium on Computer-Aided Control System Design, 2006. ,
Introduction to mathematical systems theory : a behavorial approach, 1998. ,
DOI : 10.1007/978-1-4757-2953-5
Convexity of Quadratic Transformations and Its Use in Control and Optimization, Journal of Optimization Theory and Applications, vol.6, issue.3, pp.552-583, 1998. ,
DOI : 10.1023/A:1021798932766
The Polynomial Toolbox for Matlab. Version 2.5, 1998. ,
Introducing SOS- TOOLS : a general purpose sum of squares programming solver, Proceedings of IEEE Conference on Decision and Control, 2002. ,
Nonlinear Control Synthesis by Convex Optimization, IEEE Transactions on Automatic Control, vol.49, issue.2, pp.310-314, 2004. ,
DOI : 10.1109/TAC.2003.823000
Commande robuste multivariable des turboréacteurs ,
LPV MODELING OF A TURBOFAN ENGINE, Proceedings of the IFAC World Congress on Automatic Control, 2005. ,
DOI : 10.3182/20050703-6-CZ-1902.00488
Lagrange Multipliers and Optimality, SIAM Review, vol.35, issue.2, pp.183-238, 1993. ,
DOI : 10.1137/1035044
State-Space and Multivariable Theory, IEEE Transactions on Systems, Man, and Cybernetics, vol.2, issue.2, 1970. ,
DOI : 10.1109/TSMC.1972.4309115
LMI Relaxations in Robust Control, European Journal of Control, vol.12, issue.1, pp.3-29, 2006. ,
DOI : 10.3166/ejc.12.3-29
Multivariable feedback control : analysis and design, 1996. ,
Spectra and Pseudospectra, 2005. ,
DOI : 10.1007/978-3-662-03972-4_6
Self-adjoint determinantal representations of real plane curves, Mathematische Annalen, vol.28, issue.1, pp.453-479, 1993. ,
DOI : 10.1007/BF01445115
Robust and optimal control, 1996. ,
Algorithmes numériques pour les matrices polynomiales avec applications en commande, Thèse de doctorat, Institut National des Sciences Appliquées de, 2005. ,