Results 11 to 20 of about 111,028 (264)
Optimal control in the boundary value problem for elliptic equations with degeneration
Математичні Студії, 2023 The problem of optimal control of the system described by the oblique derivative problem for the elliptic equation of the second order is studied. Cases of internal and boundary management are considered.
I. D. Pukal’skii, B. O. Yashan
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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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BVPs Codes for Solving Optimal Control Problems
Mathematics, 2021 Optimal control problems arise in many applications and need suitable numerical methods to obtain a solution. The indirect methods are an interesting class of methods based on the Pontryagin’s minimum principle that generates Hamiltonian Boundary Value ...
Francesca Mazzia, Giuseppina Settanni
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An Approximation of Solutions for the Problem with Quasistatic Contact in the Case of Dry Friction
Mathematics, 2021 In this paper, we discuss the question of finding an optimal control for the solutions of the problem with dry friction quasistatic contact, in the case that the friction law is modeled by a nonlocal version of Coulomb’s law.
Nicolae Pop +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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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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Quaternary Boundary Optimal Control Problem Dominating by Quaternary Nonlinear Parabolic System
Al-Mustansiriyah Journal of Science, 2023 In this paper, our purpose is to study the quaternary continuous classical boundary optimal control vector problem (QCCBOCVP) dominated by the quaternary nonlinear parabolic boundary value problem (QNLPBVP).
Fetan J. Naji +2 more
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An Optimal Control Problem by a Hyperbolic System with Boundary Delay
Известия Иркутского государственного университета: Серия "Математика", 2021 The paper deals with an optimal control problem by a system of semilinear hyperbolic equations with boundary differential conditions with delay. This problem is considered for smooth controls. Because this requirement it is impossible to prove optimality
A.V. Arguchintsev, V.P. Poplevko
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On Reflecting Boundary Problem for Optimal Control [PDF]
SIAM Journal on Control and Optimization, 2003 This paper deals with Mayer's problem for controlled systems with reflection on the boundary of a closed subset K. The main result is the characterization of the possibly discontinuous value function in terms of a unique solution in a suitable sense to a partial differential equation of Hamilton–Jacobi–Bellman type.
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