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Global optimization for the Biaffine Matrix Inequality problem
Author(s) -
Keat-Choon Goh,
Michael G. Safonov,
George P. Papavassilopoulos
Publication year - 1995
Publication title -
journal of global optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.861
H-Index - 86
eISSN - 1573-2916
pISSN - 0925-5001
DOI - 10.1007/bf01099648
Subject(s) - mathematics , semidefinite programming , linear matrix inequality , mathematical optimization , optimization problem , eigenvalues and eigenvectors , bilinear interpolation , interior point method , controller (irrigation) , robust optimization , nonlinear programming , control theory (sociology) , nonlinear system , computer science , control (management) , statistics , physics , quantum mechanics , artificial intelligence , agronomy , biology
It has recently been shown that an extremely wide array of robust controller design problems may be reduced to the problem of finding a feasible point under a Biaffine Matrix Inequality (BMI) constraint. The BMI feasibility problem is the bilinear version of the Linear (Affine) Matrix Inequality (LMI) feasibility problem, and may also be viewed as a bilinear extension t

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