Linear-quadratic optimization and some general hypotheses on optimal control.
Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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Muhafzan (2009)
Boletín de la Asociación Matemática Venezolana
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V. Janković (1981)
Matematički Vesnik
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Madalina Petcu, Roger Temam (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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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
Galina Kurina (2002)
International Journal of Applied Mathematics and Computer Science
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Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.
V.R. Barseghyan (2012)
The Yugoslav Journal of Operations Research
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Lorenzo Ntogramatzidis (2003)
Kybernetika
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This short paper deals with the classical finite-horizon linear-quadratic regulator problem with the terminal state constrained to be zero, for both continuous and discrete-time systems. Closed-form expressions for the optimal state and costate trajectories of the Hamiltonian system, as well as the corresponding control law, are derived through the solutions of two infinite- horizon LQ problems, thus avoiding the use of the Riccati differential equation. The computation of the optimal...
Alain Ajami, Jean-Paul Gauthier, Thibault Maillot, Ulysse Serres (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is devoted to the general problem of reconstructing the cost from the observation of trajectories, in a problem of optimal control. It is motivated by the following applied problem, concerning HALE drones: one would like them to decide by themselves for their trajectories, and to behave at least as a good human pilot. This applied question is very similar to the problem of determining what is minimized in human locomotion. These starting points are the reasons for the particular...
A. Pliś (1975)
Annales Polonici Mathematici
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