Results 231 to 240 of about 879 (254)

Exact controllability of the wave equation with Neumann boundary control

Applied Mathematics & Optimization, 1989
Let \(\Omega\) be a smooth bounded domain in m-dimensional Euclidean space \({\mathbb{R}}^ m\) with boundary \(\Gamma =\Gamma_ 0\cup \Gamma_ 1\), with \(\Gamma_ 0\) possibly empty and \(\Gamma_ 1\) nonempty and relatively open in \(\Gamma\). The authors consider the initial-boundary value problem \[ (1)\quad y_{tt}(x,t)=\Delta y(x,t)\quad (x\in \Omega,\
Lasiecka, I., Triggiani, R.
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Exact Boundary Controllability of Maxwell’s Equations in a General Region

SIAM Journal on Control and Optimization, 1989
This paper deals with the exact controllability of solutions of Maxwell's equations for an electric field E and a magnetic field H in a general region \(\Omega\) with boundary \(\Gamma\) by means of currents flowing tangentially to the boundary. The author uses the Hilbert uniqueness method (HUM) introduced by \textit{J. L. Lions} [cf. C. R. Acad. Sci.,
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Exact Boundary Value Controllability of a Class of Hyperbolic Equations

SIAM Journal on Control and Optimization, 1978
Let $c(t)$ be a real-valued function which is analytic for $t \geqq 0$ and $\Omega $ be a bounded, open set in $R^n $ with smooth boundary. Sufficient conditions are given which insure that control processes modeled by partial differential equations of the form \[\frac{{\partial ^2 u}}{{\partial t^2 }} - \sum\limits_{i = 1}^n {\frac{{\partial ^2 u ...
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Exact Boundary Controllability of the Korteweg--de Vries Equation

SIAM Journal on Control and Optimization, 1999
Exact boundary controllability of the KdV equation \[ u_t+ u_x+ uu_x+ u_{xxx}= 0\quad\text{on }(\alpha, \beta) \] with control inputs \(u(\alpha, t)= h_1(t)\), \(u(\beta, t)= h_2(t)\), \(u_x(\beta, t)= h_3(t)\) is considered. Writing the system in the abstract form \[ {dy\over dt}= Ay+ F(y)+ Bh \] and applying a fixed point argument gives the ...
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Exact and Admissible Controllability of Viscoelastic Systems with Boundary Controls

IFAC Proceedings Volumes, 1984
Abstract First exact controllability of vibrations of the linear viscoelastic systems with long memory by boundary controls is considered. If the coefficients of viscosity are small enough, then exact controllability is obtained. Next a constraint set of controls is defined and the problem of what sort of vibrations can be controlled by controls in ...
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Hierarchical exact controllability of a parabolic equation with boundary controls

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Djomegne, Landry, Kenne, Cyrille
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Exact Boundary Control of a Vibrating Plate by Bem

1997
We propose a solution technique for the exact Dirichlet boundary control of plate bending problems using the Hubert Uniqueness Method in conjunction with the time-domain boundary element method. As an example, boundary control of a circular plate is shown in order to demonstrate the effectiveness of the proposed method.
S. Kobayashi, N. Nishimura, M. Fujii
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Local Exact Boundary Controllability for the Compressible Navier--Stokes Equations

SIAM Journal on Control and Optimization, 2019
This very interesting paper is concerning the boundary controllability of the compressible Navier-Stokes equations on a bounded domain in \(\mathbb R^N\), \(N \leq 3\). The main point is an extension of the the results [\textit{S. Ervedoza} et al., Commun. Partial Differ. Equations 41, No. 11, 1660--1691 (2016; Zbl 1365.35107); Arch. Ration. Mech. Anal.
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Exact boundary controllability results for a Rao–Nakra sandwich beam

Systems & Control Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact controllability for wave equation with Neumann boundary control

2006
the author presented a summary of very recent results on exact controllability for the wave equation under boundary control exercised either in the Dirichlet or else in the Neumann boundary conditions. For lack of space, the present paper deals exclusively with the Neumann case, while for the Dirichlet case reference is made to [T.1].
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