Results 1 to 10 of about 879 (254)
Exact Controllability for a Schrödinger Equation with Dynamic Boundary Conditions
SIAM Journal on Control and Optimization, 2023 In this paper, we study the controllability of a Schrödinger equation with mixed boundary conditions on disjoint subsets of the boundary: dynamic boundary condition of Wentzell type, and Dirichlet boundary condition. The main result of this article is given by new Carleman estimates for the associated adjoint system, where the weight function is ...
Alberto Carlos Mercado Saucedo +1 more
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Exact Controllability of the Heat Equation with Boundary Control and Boundary Noise
MathematicsWe study an exact controllability problem for a system governed by the heat equation with Neumann boundary control and boundary noise. We reduce the control problem to a moment problem for which we establish sufficient conditions for its resolution.
Noudjoud Hamdi, Salah-Eddine Rebiai
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Exact boundary controllability of a microbeam model
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patricio Guzman
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Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2021 In this paper, we consider the exact boundary controllability and the exact boundary synchronization (by groups) for a coupled system of wave equations with coupled Robin boundary controls. Owing to the difficulty coming from the lack of regularity of the solution, we confront a bigger challenge than that in the case with Dirichlet or Neumann boundary ...
Rao, Bopeng, Li, Tatsien, Lu, Xing
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Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
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Remarks on local controllability for the Boussinesq system with Navier boundary condition
Comptes Rendus. Mathématique, 2020 This note deals with the local exact controllability to a particular class of trajectories for the Boussinesq system with nonlinear Navier–slip boundary conditions and internal controls having vanishing components.
Montoya, Cristhian
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Exact boundary controllability of coupled hyperbolic equations [PDF]
International Journal of Applied Mathematics and Computer Science, 2013 Abstract We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell
Sergei Avdonin +2 more
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Exact boundary controllability for the ideal magneto-hydrodynamic equations [PDF]
Journal of Differential Equations, 2022 14 ...
Igor Kukavica +2 more
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Exact and positive controllability of boundary control systems
Networks & Heterogeneous Media, 2017 Using the semigroup approach to abstract boundary control problems we characterize the space of all exactly reachable states. Moreover, we study the situation when the controls of the system are required to be positive. The abstract results are applied to flows in networks with static as well as dynamic boundary conditions.
ENGEL, KLAUS JOCHEN OTTO +1 more
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