Title :
Successive D.C. relaxation for parametrized LMI problems
Author :
Ichihara, Hiroyuki ; Nobuyama, Eitaku
Author_Institution :
Kyushu Inst. of Technol., Fukuoka, Japan
Abstract :
This paper presents a global optimization algorithm using difference of multiconvex relaxation successively for parametrized LMI problems. The problem is formulated as a minimax problem. On branch and bound, the relaxation is performed iteratively to have a feasible solution of the parametrized LMI problem. Numerical examples for stability analysis of parameter dependent varying are shown.
Keywords :
computational complexity; control system synthesis; linear matrix inequalities; minimax techniques; relaxation theory; stability; branch and bound method; global optimization algorithm; linear matrix inequalities; minimax problem; multiconvex relaxation difference; parametrized LMI problems; stability analysis; Ear; Eigenvalues and eigenfunctions; Iterative algorithms; Linear matrix inequalities; Minimax techniques; Performance analysis; Stability analysis; Symmetric matrices;
Conference_Titel :
Control Conference, 2004. 5th Asian
Conference_Location :
Melbourne, Victoria, Australia
Print_ISBN :
0-7803-8873-9
