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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Hans Pesch, Armin Rund, Wolf von Wahl, Stefan Wendl (2010)
Control and Cybernetics
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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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
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. ...
Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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Peter Nestler, Werner H. Schmidt (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the...
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Maciej Szymkat, Adam Korytowski (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The paper presents the Monotone Structural Evolution, a direct computational method of optimal control. Its distinctive feature is that the decision space undergoes gradual evolution in the course of optimization, with changing the control parameterization and the number of decision variables. These structural changes are based on an analysis of discrepancy between the current approximation of an optimal solution and the Maximum Principle conditions. Two particular implementations, with...