Minimax optimal control problems. Numerical analysis of the finite horizon case
Silvia C. Di Marco, Roberto L. V. González (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “Numerical procedure to approximate a singular optimal control problem”
Minimax optimal control problems. Numerical analysis of the finite horizon case
Approximation of control problems involving ordinary and impulsive controls
Fabio Camilli, Maurizio Falcone (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Nash equilibrium for a multiobjective control problem related to wastewater management
Néstor García-Chan, Rafael Muñoz-Sola, Miguel Ernesto Vázquez-Méndez (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is concerned with mathematical modelling in the management of a wastewater treatment system. The problem is formulated as looking for a Nash equilibrium of a multiobjective pointwise control problem of a parabolic equation. Existence of solution is proved and a first order optimality system is obtained. Moreover, a numerical method to solve this system is detailed and numerical results are shown in a realistic situation posed in the estuary of Vigo (Spain).
On the approximation of the solution of an optimal control problem governed by an elliptic equation
Tunc Geveci (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Some applications of optimal control theory of distributed systems
Alfredo Bermudez (2002)
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
Discrete dynamic programming and viscosity solutions of the Bellman equation
I. Capuzzo Dolcetta, M. Falcone (1989)
Annales de l'I.H.P. Analyse non linéaire
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Inversion in indirect optimal control of multivariable systems
François Chaplais, Nicolas Petit (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration. ...