Displaying similar documents to “Optimization on linear matrix inequalities for polynomial systems control”

LFS functions in multi-objective programming

Luka Neralić, Sanjo Zlobec (1996)

Applications of Mathematics

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We find conditions, in multi-objective convex programming with nonsmooth functions, when the sets of efficient (Pareto) and properly efficient solutions coincide. This occurs, in particular, when all functions have locally flat surfaces (LFS). In the absence of the LFS property the two sets are generally different and the characterizations of efficient solutions assume an asymptotic form for problems with three or more variables. The results are applied to a problem in highway construction,...

Efficient calculation of sensitivities for optimization problems

Andreas Kowarz, Andrea Walther (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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Sensitivity information is required by numerous applications such as, for example, optimization algorithms, parameter estimations or real time control. Sensitivities can be computed with working accuracy using the forward mode of automatic differentiation (AD). ADOL-C is an AD-tool for programs written in C or C++. Originally, when applying ADOL-C, tapes for values, operations and locations are written during the function evaluation to generate an internal function...

News

(1994)

Kybernetika

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Robust real-time optimization for the linear oil blending

Stefan Janaqi, Jorge Aguilera, Meriam Chèbre (2013)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper we present a robust real-time optimization method for the online linear oil blending process. The blending process consists in determining the optimal mix of components so that the final product satisfies a set of specifications. We examine different sources of uncertainty inherent to the blending process and show how to address this uncertainty applying the Robust Optimization techniques. The polytopal structure of our problem permits a simplified robust approach. Our...

Two-stage robust optimization, state-space representable uncertainty and applications

Michel Minoux (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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The present paper addresses the class of two-stage robust optimization problems which can be formulated as mathematical programs with uncertainty on the right-hand side coefficients (RHS uncertainty). The wide variety of applications and the fact that many problems in the class have been shown to be NP-hard, motivates the search for efficiently solvable special cases. Accordingly, the first objective of the paper is to provide an overview of the most important applications and of various...