In this paper, we obtained results on the properties of Lipschitz, upper and lower semicontinuities of optimal multifunctions and optimal solution-set functions in parametric programming, where the objective and const...
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In this paper, we obtained results on the properties of Lipschitz, upper and lower semicontinuities of optimal multifunctions and optimal solution-set functions in parametric programming, where the objective and constrain functions are set-valued.
This paper concerns sensitivity analysis for general parametric constrained problems of multiobjectiveoptimization in infinite-dimensional spaces by using advanced tools of modem variational analysis and generalized ...
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This paper concerns sensitivity analysis for general parametric constrained problems of multiobjectiveoptimization in infinite-dimensional spaces by using advanced tools of modem variational analysis and generalized differentiation. We pay the main attention to computing and estimating coderivatives of frontier and efficient solution maps in parametricmultiobjective problems with respect to generalized order optimality that include a vast majority of conventional multiobjective problems in the presence of geometric, operator, functional, and equilibrium constraints. The obtained results are new in both finite-dimensional and infinite-dimensional spaces.
作者：
Chen, ZheTsinghua Univ
Sch Econ & Management Res Ctr Contemporary Management Beijing 100084 Peoples R China Chongqing Normal Univ
Chongqing Key Lab Operat Res & Syst Engn Chongqing 400047 Peoples R China
In this article, we investigate the nonemptiness and compactness of the weak Pareto optimal solution set of a multiobjectiveoptimization problem with functional constraints via asymptotic analysis. We then employ the...
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In this article, we investigate the nonemptiness and compactness of the weak Pareto optimal solution set of a multiobjectiveoptimization problem with functional constraints via asymptotic analysis. We then employ the obtained results to derive the necessary and sufficient conditions of the weak Pareto optimal solution set of a parametric multiobjective optimization problem. Our results improve and generalize some known results.
Evolutionary multiobjectiveoptimization with fractional order objective functions is used for the tuning of three coupled control loops, which are part of the pitch control system of three -bladed, variable speed, ho...
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Evolutionary multiobjectiveoptimization with fractional order objective functions is used for the tuning of three coupled control loops, which are part of the pitch control system of three -bladed, variable speed, horizontal -axis large -sized wind energy converters. The first control loop is the collective pitch control (CPC). The second one is the active tower damping control (ATDC), which is used to damp tower oscillation due to the pitching activity. Finally, the third one is the active blade tip deflection damping control (ABDC) in the edgewise direction, which is proposed to mitigate blade oscillations. Simulation results by using the software FAST of a 20 MW reference turbine show that the tuning approach yields satisfactory performance for all control loops. (C) 2019 IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Evolutionary multiobjectiveoptimization with fractional order objective functions is used for the tuning of three coupled control loops, which are part of the pitch control system of three-bladed, variable-speed, hor...
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Evolutionary multiobjectiveoptimization with fractional order objective functions is used for the tuning of three coupled control loops, which are part of the pitch control system of three-bladed, variable-speed, horizontal-axis large-sized wind energy converters. The first control loop is the collective pitch control (CPC). The second one is the active tower damping control (ATDC), which is used to damp tower oscillation due to the pitching activity. Finally, the third one is the active blade tip deflection damping control (ABDC) in the edgewise direction, which is proposed to mitigate blade oscillations. Simulation results by using the software FAST of a 20 MW reference turbine show that the tuning approach yields satisfactory performance for all control loops.
We consider a parametric multiobjective optimization problem whose objective function and constraint set are not necessarily convex. We introduce the concept of uniform efficiency, characterize it and compare it with ...
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We consider a parametric multiobjective optimization problem whose objective function and constraint set are not necessarily convex. We introduce the concept of uniform efficiency, characterize it and compare it with the well-known concepts of proper efficiency and normal efficiency. Then we establish the semi-differentiability of the marginal (efficient value) mapping and a formula to compute its semi-derivative at a uniformly efficient value. As an application we derive semi-differentiability of the marginal function for a problem in which the constraint set is given by a system of inequalities, and for a problem whose constraint set is a union of polyhedral convex sets. The results of this paper are not only new in the case of nonconvex multiobjective problems, but they also deepen some existing ones for the convex case.
The paper discusses various aspects of the interrelation between climate and structures as part of the biosphere's ecosystem. Structural design is hereby understood as a subsystem of humanity, seen as a biological...
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ISBN:
(纸本)9788412110104
The paper discusses various aspects of the interrelation between climate and structures as part of the biosphere's ecosystem. Structural design is hereby understood as a subsystem of humanity, seen as a biological organism, and the climate, as part of the organism's abiotic environment. Possibilities within recent advancements in digitalization and automation to adopt structural design to climatic loading conditions and to mitigate the effect of the manufacturing of structures on the climate are presented as core disciplines of the research group 'Climate&Structures' and are placed within the ecosystem's interrelations. These disciplines are: observation and simulation of climatic loading phenomena(icing, snow- and wind loading), adaption of structures to these with parametric multi-objective and topology optimization, and realization of these structures with additive manufacturing with circular and recycled construction materials.
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