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Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions
(Taylor & Francis Ltd, 2020-08-21)
It is well-known that the primal quadratic growth condition of the classical augmented Lagrangian around a local minimizer can be obtained under the second-order sufficient optimality condition. In this paper, we show that ...
Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions
(Taylor & Francis Ltd, 2020-08-21)
It is well-known that the primal quadratic growth condition of the classical augmented Lagrangian around a local minimizer can be obtained under the second-order sufficient optimality condition. In this paper, we show that ...
First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
(Springer/Plenum Publishers, 2013-10)
This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work ...
Explicit solutions for distributed, boundary and distributed-boundary elliptic optimal control problems
(Springer Verlag Berlín, 2020-10)
We consider a steady-state heat conduction problem in a multidimensional bounded domainfor the Poisson equation with constant internal energy g and mixed boundary conditions given by a constant temperature b in the portion ...
A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
(Elsevier Science SA, 2020-07-01)
Topology optimization is a technique in the engineering area that allows obtaining optimal designs of devices, mechanisms, complex structures and even design the microstructure of an auxetic material. Classically, the focus ...
Convergence of simultaneous distributed-boundary parabolic optimal control problems
(American Institute of Mathematical Sciences, 2020-12)
We consider a heat conduction problem S with mixed boundary conditions in a n-dimensional domain Ω with regular boundary Γ and a family of problems Sα, where the parameter α > 0 is the heat transfer coefficient on the ...
Application of dynamic optimization techniques for poly(b̃- hydroxybutyrate) production in a fed-batch bioreactor
(American Chemical Society, 2010-02)
Poly(b̃-hydroxybutyrate), PHB, is a microbial biopolymer produced by bacteria under unbalanced culture conditions. Such unbalanced conditions can be easily reached in a fed-batch bioreactor; therefore, it is important to ...
Foto-degradación de fenol sobre catalizadores de TiO2 y Mo/TiO2. La metodología de superficie de respuesta como herramienta de optimización
(Centro de Informacion Tecnologica, 2014-01-01)
In this work, the response surface methodology was applied as a tool for the optimization of the operational conditions of phenol photo-degradation over TiO2 and 2% wt Mo/TiO2 catalysts. A multifactorial experimental design ...