Results 11 to 20 of about 12,436,371 (298)
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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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
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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Optimal fluctuations and the control of chaos. [PDF]
, 2002 The energy-optimal migration of a chaotic oscillator from one attractor to another coexisting attractor is investigated via an analogy between the Hamiltonian theory of fluctuations and Hamiltonian formulation of the control problem.
Luchinsky, D. G. +4 more
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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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Energy-optimal steering of transitions through a fractal basin boundary. [PDF]
, 2004 We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary.
Luchinsky, D. G. +3 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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Mathematics, 2022 In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
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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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