Stability and accuracy functions in multicriteria combinatorial optimization
M. Libura, Yu. Nikulin (2004)
Control and Cybernetics
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M. Libura, Yu. Nikulin (2004)
Control and Cybernetics
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Dušan Bednařík, Karel Pastor (2009)
RAIRO - Operations Research
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In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions.
John Leth, Rafael Wisniewski (2014)
International Journal of Applied Mathematics and Computer Science
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La Torre, Davide (2003)
Journal of Applied Mathematics
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Bai, Xiao-Ming, Li, Hui-Min, Yang, Xiao-Song (2006)
Discrete Dynamics in Nature and Society
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El-Sayed M.E. Mostafa (2012)
International Journal of Applied Mathematics and Computer Science
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In this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available. Moreover, a parametrization approach is introduced that does not require starting a feasible...
Karl Kunisch, Stefan Volkwein (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The construction of reduced order models for dynamical systems using proper orthogonal decomposition (POD) is based on the information contained in so-called snapshots. These provide the spatial distribution of the dynamical system at discrete time instances. This work is devoted to optimizing the choice of these time instances in such a manner that the error between the POD-solution and the trajectory of the dynamical system is minimized. First and second order optimality systems are...
Aboussoror, Abdelmalek, Babahadda, Hicham, Mansouri, Abdelatif (2005)
International Journal of Mathematics and Mathematical Sciences
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Yan, Lamei, Liu, Bin (2010)
Advances in Difference Equations [electronic only]
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