The non-parameter penalty function method in constrained optimal control problems.
Xing, An-Qing (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Xing, An-Qing (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Obadeanu, V., Neamtu, M. (1999)
Novi Sad Journal of Mathematics
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M. Bergounioux, F. Troeltzsch (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the basic questions of control theory. Here, we investigate bottleneck problems arising from optimal control problems for PDEs with certain mixed control-state inequality constraints. We show how to obtain Lagrange multipliers in L spaces for linear problems and give an application to linear parabolic optimal control problems.
Ira Neitzel, Fredi Tröltzsch (2008)
Control and Cybernetics
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Leonard D. Berkovitz (1985)
Banach Center Publications
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Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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Atle Seierstad (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.
Leszek Mikulski (2004)
International Journal of Applied Mathematics and Computer Science
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Optimal design problems in mechanics can be mathematically formulated as optimal control tasks. The minimum principle is employed in solving such problems. This principle allows us to write down optimal design problems as Multipoint Boundary Value Problems (MPBVPs). The dimension of MPBVPs is an essential restriction that decides on numerical difficulties. Optimal control theory does not give much information about the control structure, i.e., about the sequence of the forms of the right-hand...
Hans Pesch, Michael Plail (2009)
Control and Cybernetics
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Lędzewicz-Kowalewska, Urszula (2015-11-28T13:27:16Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Lino J. Alvarez-Vázquez, Francisco J. Fernández, Aurea Martínez (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a time optimal control problem arisen from the optimal management of a bioreactor devoted to the treatment of eutrophicated water. We formulate this realistic problem as a state-control constrained time optimal control problem. After analyzing the state system (a complex system of coupled partial differential equations with non-smooth coefficients for advection-diffusion-reaction with Michaelis-Menten kinetics, modelling the eutrophication processes) we demonstrate the existence...