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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Displaying similar documents to “Optimal control of dynamical processes in two-phase systems of solid-liquid type”
Differential dynamical systems in Lagrangian optimal control formulation. II. (Systemés dynamiques differéntielles á controle optimal formulation Lagrangienne. II.)
Existence theorems for some optimal control problems
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Some Applications of Optimal Control Theory of Distributed Systems
Alfredo Bermudez (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we present some applications of the J.-L. Lions' optimal control theory to real life problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization of canned foods, optimal management of waste-water treatment plants and noise control
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.
Switchings of optimal controls and the equation ,
Pavol Brunovský, John J. Mallet-Paret (1985)
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Uniqueness of optimal trajectories for non-linear control systems
A. Pliś (1975)
Annales Polonici Mathematici
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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...
On some new phenomena in state-constrained optimal control if ODEs as well as PDEs are involved
Hans Pesch, Armin Rund, Wolf von Wahl, Stefan Wendl (2010)
Control and Cybernetics
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Dynamic optimal cooling control for continuous casting of steel
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Regularity along optimal trajectories of the value function of a Mayer problem
Carlo Sinestrari (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider an optimal control problem of Mayer type and prove that, under suitable conditions on the system, the value function is differentiable along optimal trajectories, except possibly at the endpoints. We provide counterexamples to show that this property may fail to hold if some of our conditions are violated. We then apply our regularity result to derive optimality conditions for the trajectories of the system.
Time optimal control of the heat equation with pointwise control constraints
Karl Kunisch, Lijuan Wang (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By Pontryagin’s maximum principle and properties of nontrivial solutions of the heat equation, we derive a bang-bang property for time optimal control. Using the bang-bang property and establishing certain connections between time and norm optimal control problems for the heat equation, necessary and sufficient conditions for the optimal time and the optimal control...