RELAXATIONS OF ROBUST LINEAR PROGRAMS AND VERIFICATION OF EXACTNESS

作者: S.G. Dietz , C.W. Scherer

DOI: 10.3182/20060705-3-FR-2907.00060

关键词: Gröbner basisMathematical optimizationSystem of linear equationsRelaxation (approximation)MathematicsIdeal (set theory)ComputationPolynomialLinear programming

摘要: Abstract Motivated by a robust positive real synthesis problem, we consider linear programming problems with the main goal of verifying whether computed solution particular LMI relaxation is exact. It it shown that this requires to solve polynomial system equations. The contribution paper an algorithm systems. Contrary existing approaches, suggest technique which does not require computation Grobner basis ideal generated polynomials define

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