How GloptiPoly is applied to problems in robust and nonlinear control
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[1] Christodoulos A. Floudas,et al. Robust stability analysis of systems with real parametric uncertainty: A global optimization approach , 1995 .
[2] Shankar P. Bhattacharyya,et al. Structure and synthesis of PID controllers , 2000 .
[3] Warren P. Adams,et al. A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems , 1998 .
[4] Jürgen Garloff,et al. Application of Bernstein Expansion to the Solution of Control Problems , 2000, Reliab. Comput..
[5] Laurent El Ghaoui,et al. Advances in linear matrix inequality methods in control: advances in design and control , 1999 .
[6] P. Dorato,et al. Quantified multivariate polynomial inequalities. The mathematics of practical control design problems , 2000 .
[7] Yurii Nesterov,et al. Squared Functional Systems and Optimization Problems , 2000 .
[8] Graziano Chesi,et al. An LMI approach to constrained optimization with homogeneous forms , 2001 .
[9] David P. Williamson,et al. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming , 1995, JACM.
[10] C. Floudas. Handbook of Test Problems in Local and Global Optimization , 1999 .
[11] J. Lasserre,et al. Detecting global optimality and extracting solutions in GloptiPoly , 2003 .
[12] B. Ross Barmish,et al. New Tools for Robustness of Linear Systems , 1993 .
[13] Aharon Ben-Tal,et al. Lectures on modern convex optimization , 1987 .
[14] P. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .
[15] Jean B. Lasserre,et al. An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs , 2002, SIAM J. Optim..
[16] Didier Henrion,et al. GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi , 2003, TOMS.
[17] Jos F. Sturm,et al. A Matlab toolbox for optimization over symmetric cones , 1999 .
[18] Stephen P. Boyd,et al. Linear Matrix Inequalities in Systems and Control Theory , 1994 .
[19] S. Bhattacharyya,et al. Robust control with structure perturbations , 1988 .
[20] N. Shor. Nondifferentiable Optimization and Polynomial Problems , 1998 .
[21] Warren P. Adams,et al. A hierarchy of relaxation between the continuous and convex hull representations , 1990 .
[22] Jean B. Lasserre,et al. Global Optimization with Polynomials and the Problem of Moments , 2000, SIAM J. Optim..
[23] Sahjendra N. Singh,et al. Nonlinear Control of Mismatched Uncertain Linear Systems and Application to Control of Aircraft , 1984 .
[24] Andrew Bartlett,et al. Robust Control: Systems with Uncertain Physical Parameters , 1993 .
[25] G. Papavassilopoulos,et al. Bilinearity and complementarity in robust control , 1999 .
[26] N. Bose. Applied multidimensional systems theory , 1982 .