Results 221 to 230 of about 879 (254)

Exact Controllability of an Aeroacoustic Model with a Neumann and a Dirichlet Boundary Control

SIAM Journal on Control and Optimization, 2009
We study the exact controllability of a fluid-structure model. The fluctuations of fluid velocity and pressure in a domain $\Omega$ are described by a potential $\phi$, and the structure is a membrane located in a part $\Gamma_s$ of the boundary $\Gamma=\partial\Omega$ of the domain $\Omega$.
Cot, Louis, Raymond, Jean-Pierre, Vancostenoble, Judith   +2 more
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Boundary exact controllability for a porous elastic Timoshenko system

Applications of Mathematics, 2020
In this paper, the authors consider the boundary exact controllability of a one-dimensional Timoshenko-type beam fixed at right end and at left end two controls act on the transverse displacement and the rotation angle, respectively. By using the HUM method, the authors prove that the system is boundary exactly controllable in the usual energy space ...
Santos, Manoel J., Raposo, Carlos A., Rodrigues, Leonardo R. S.   +2 more
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On the Exact Controllability of the Wave Equation with Interior and Boundary Controls

Journal of Optimization Theory and Applications, 2005
Using a combination of the Hilbert uniqueness method and the dynamic programming principle, the author establishes exact controllability of the wave equation in a bounded domain of \(\mathbb{ R}^n \), with controls on a part of the boundary and in the interior of the domain. Feedback laws are established.
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Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations

Chinese Annals of Mathematics, Series B, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Long, Ji, Fanqiong, Wang, Ke
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Exact controllability of the transmission string–beam equations with a single boundary control

Mathematical Methods in the Applied Sciences, 2023
We consider the exact controllability of a transmission system which models a flexible beam with one end clamped and the other end linked to a string. The control only acts on the free end of the string. Using the multiplier method, we prove that the full energy of transmission system can be estimated by the boundary data of string.
Zhao‐Zhong Su, Ya‐Ping Guo
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Stabilization and Exact Boundary Controllability for Maxwell’s Equations

SIAM Journal on Control and Optimization, 1994
This paper studies Maxwell's equations with dissipative boundary conditions. With some geometric conditions imposed on the domain, results on uniform stabilization of the solutions are proved. Exact boundary controllability is also obtained by using the energy decay of the solution.
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Exact Boundary Control for Some Evolution Equations

SIAM Journal on Control and Optimization, 1978
It is verified that Russell’s results [19], [20] on exact boundary control of the wave and heat equations ($\ddot u = \Delta \dot u$, $\dot u = \Delta u$, respectively) can be extended to a class of second order hyperbolic and parabolic equations with spatially variable coefficients.
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Exact Boundary Controllability of Electromagnetic Fields in a General Region

Applied Mathematics & Optimization, 2002
The authors consider the controllability of Maxwell's equations in the following sense. The initial and final electric and magnetic fields are known and the variation of the electric current distribution over the intervening period is required. An operator theoretic formulation is set up and an expression is obtained giving the electromagnetic field at
Eller, M. M., Masters, J. E.
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Exact boundary controllability of an integrodifferential equation

Applied Mathematics & Optimization, 1987
An integro-differential equation of Volterra type, describing the deflection of a plate of viscoelastic material, having a long memory for its deformation history, is considered. A boundary value problem with inhomogeneous boundary conditions of class \(L^ 2\) on a part of the boundary is investigated.
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EXACT BOUNDARY CONTROLLABILITY OF A NONLINEAR SHALLOW SPHERICAL SHELL

Mathematical Models and Methods in Applied Sciences, 1998
We consider the problem of boundary exact controllability of a coupled nonlinear system which describes vibrations of a thin, shallow, spherical shell. We show that under the geometric condition of "shallowness", which restricts the curvature with respect to the thickness, the system is exactly controllable in the natural "finite energy" space by ...
Bradley, Mary E., Lasiecka, Irena
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