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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Displaying similar documents to “Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems”
The non-parameter penalty function method in constrained optimal control problems.
Differential dynamical systems in Lagrangian optimal control formulation. II. (Systemés dynamiques differéntielles á controle optimal formulation Lagrangienne. II.)
Obadeanu, V., Neamtu, M. (1999)
Novi Sad Journal of Mathematics
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Optimal control of linear bottleneck problems
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.
On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints
Ira Neitzel, Fredi Tröltzsch (2008)
Control and Cybernetics
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A penalty method for deriving necessary conditions in problems of optimal control
Leonard D. Berkovitz (1985)
Banach Center Publications
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Optimal control of mechanical systems.
Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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Existence of optimal nonanticipating controls in piecewise deterministic control problems
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.
Control structure in optimization problems of bar systems
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...
The maximum Principle of optimal control: A history of ingenious ideas and missed opportunities
Hans Pesch, Michael Plail (2009)
Control and Cybernetics
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The extremum principle for problems of optimal control with mixed constraints
Lędzewicz-Kowalewska, Urszula (2015-11-28T13:27:16Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Analysis of a time optimal control problem related to the management of a bioreactor
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...