Results 11 to 20 of about 117,892 (308)
Optimal boundary control in a micromixer
Examples and CounterexamplesThis work studies mathematical foundations for optimal boundary control of mixers which mix two fluid phases. Existence of optima is proved and the influence of common objective functionals is discussed.
Manuel Wegmann +3 more
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Optimal boundary control for hyperdiffusion equation [PDF]
Kybernetika, 2010 Summary: We consider the solution of optimal control problem for hyperdiffusion equation involving a boundary function of continuous time variable in its cost function. A specific direct approach based on infinite series of Fourier expansion in space and temporal integration by parts for analytical solution is proposed to solve optimal boundary control
Hanif Heidari, Alaeddin Malek
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Homogenization of boundary optimal control problem
Electronic Journal of Differential Equations, 2022 In this article, we study the asymptotic behavior of solutions to some optimal control problems, governed by an elliptic boundary value problem with Robin boundary conditions in a periodically perforated domain. The coefficients of the differential operator in the state equation and in the cost-functional are rapidly oscillating.
Indira Mishra
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On the Existence of Optimal Controls for SPDEs with Boundary Noise and Boundary Control [PDF]
SIAM Journal on Control and Optimization, 2013 We consider a stochastic optimal control problem for an heat equation with boundary noise and boundary controls. Under suitable assumptions on the coefficients, we prove existence of optimal controls in strong sense by solving the stochastic hamiltonian system related.
GUATTERI, GIUSEPPINA, Federica Masiero
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On boundary stimulation and optimal boundary control of the bidomain equations. [PDF]
Math Biosci, 2013 The bidomain equations with Neumann boundary stimulation and optimal control of these stimuli are investigated. First an analytical framework for boundary control is provided. Then a parallel finite element based algorithm is devised and its efficiency is demonstrated not only for the direct problem but also for the optimal control problem.
Chamakuri N, Kunisch K, Plank G.
europepmc +5 more sources
A Boundary Optimal Control Identification Problem
, 2020 Optimal control methods are applied in various problems and can be efficient also for solving inverse problems, such as parameter identification and boundary control which arise in many important applications. For boundary optimal control methods one can identify conditions on an inaccessible part of the boundary by letting them play the role of a ...
Axelsson, Owe +2 more
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Optimal control of a stochastic heat equation with boundary-noise and boundary-control [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2007 The authors of the present paper study a controlled state equation of parabolic type with Neumann boundary condition over the interval \([0,\pi]\). In the boundary condition at \(0\) and at \(\pi\) the derivative of the solution equals to the sum of a control and of a white noise in time; the two white noises intervening at the both interval end points
DEBUSSCHE A +2 more
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Boundary conditions optimal control [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1989 AbstractA simple rigorous approach is given to finding boundary conditions for the adjoint differential equation in an optimal control problem. The boundary conditions for a time-optimal problem are calculated from the simpler conditions for a fixed-time problem.
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Nonlinear control of unsteady finite-amplitude perturbations in the Blasius boundary-layer flow [PDF]
, 2013 The present work provides an optimal control strategy, based on the nonlinear Navier–Stokes equations, aimed at hampering the rapid growth of unsteady finite-amplitude perturbations in a Blasius boundary-layer flow.
DE PALMA, Pietro +2 more
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Optimal boundary control problems for a hierarchical age-structured two-species model
Journal of Inequalities and Applications, 2022 This paper discusses the optimal control problems for a nonlinear age-structured two-species model, where elder individuals are more competitive than younger ones, and each species is described by a nonlinear integropartial differential equation with a ...
Rong Liu, Nan Zhou, Ze-Rong He
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