Reduced Vertex Set Result for Interval Semidefinite Optimization Problems

[1]  Eduardo F. Camacho,et al.  A new vertex result for robustness problems with interval matrix uncertainty , 2007, 2007 European Control Conference (ECC).

[2]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[3]  Arkadi Nemirovski,et al.  On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty , 2002, SIAM J. Optim..

[4]  John N. Tsitsiklis,et al.  A survey of computational complexity results in systems and control , 2000, Autom..

[5]  John W. Chinneck,et al.  Linear programming with interval coefficients , 2000, J. Oper. Res. Soc..

[6]  Arkadi Nemirovski,et al.  Robust solutions of uncertain linear programs , 1999, Oper. Res. Lett..

[7]  Stephen P. Boyd,et al.  Applications of semidefinite programming , 1999 .

[8]  Arkadi Nemirovski,et al.  Robust Convex Optimization , 1998, Math. Oper. Res..

[9]  Laurent El Ghaoui,et al.  Robust Solutions to Uncertain Semidefinite Programs , 1998, SIAM J. Optim..

[10]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[11]  Arkadi Nemirovski,et al.  Robust Truss Topology Design via Semidefinite Programming , 1997, SIAM J. Optim..

[12]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[13]  Vladimir A. Yakubovich,et al.  Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) , 1995, SIAM Rev..

[14]  J. Rohn.  Positive Definiteness and Stability of Interval Matrices , 1994 .

[15]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[16]  Yurii Nesterov,et al.  Interior-point polynomial algorithms in convex programming , 1994, Siam studies in applied mathematics.

[17]  J. Rohn.  Checking positive definiteness or stability of symmetric interval matrices is NP-hard , 1994 .

[18]  A. Nemirovskii.  Several NP-hard problems arising in robust stability analysis , 1993 .

[19]  Arkadi Nemirovski,et al.  Several NP-hard problems arising in robust stability analysis , 1993, Math. Control. Signals Syst..

[20]  M. Fan,et al.  On minimizing the largest eigenvalue of a symmetric matrix , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[21]  I. Petersen.  A stabilization algorithm for a class of uncertain linear systems , 1987 .