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A branch-and-bound algorithm for solving BMIs taking account of activities of relaxed LMIs

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1 Author(s)
H. Fujioka ; Sch. of Inf., Kyoto Univ., Japan

An optimization problem related to bilinear matrix inequalities (BMIs) is considered. A branch-and-bound type global algorithm is obtained based on a linear matrix inequality (LMI)-relaxation and an upper bound of its worst case performance is derived. Taking account of activities of the relaxed problem, an improved algorithm is also proposed

Published in:

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on  (Volume:1 )

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