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An optimal control problem for the systems with integral boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to ...
M.J. Mardanov, Y.A. Sharifov
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Journal of Biomechanical Science and Engineering, 2022 Phase-contrast magnetic resonance imaging (PC-MRI) allows us to acquire biofluid flow velocity maps, whereas MRI data is restricted by spatiotemporal resolution limitations and contains theoretically inevitable errors.
Tomohiro OTANI +6 more
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Mathematics, 2022 We consider an optimal boundary control problem for a one-dimensional wave equation consisting of two non-homogenous segments with piecewise constant characteristics. The wave equation describes the longitudinal vibrations of a non-homogeneous rod or the
Vanya Barseghyan, Svetlana Solodusha
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Optimal Dirichlet Boundary Control for the Corotational Oldroyd Model
Mathematics, 2023 In this article, we investigate an optimal control problem for the coupled system of partial differential equations describing the steady-state flow of a corotational-type Oldroyd fluid through a bounded 3D (or 2D) domain.
Evgenii S. Baranovskii +1 more
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Bilinear boundary optimal control of a Kirchhoff plate equation
Results in Control and Optimization, 2022 This work shows that a problem of boundary optimal control of a Kirchhoff plate equation has a solution that we characterized using the differentiability of a functional cost.
Abdelhak Bouhamed +2 more
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Al-Mustansiriyah Journal of Science, 2023 In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem.
Yasameen H. Rashid +2 more
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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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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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