Results 211 to 220 of about 879 (254)

Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems

SIAM Journal on Control and Optimization, 2003
Using a result on the existence and uniqueness of the semiglobal C 1 solution to the mixed initial-boundary value problem for first order quasi-linear hyperbolic systems with general nonlinear boundary conditions, we establish the exact boundary controllability for quasi-linear hyperbolic systems if the C 1 norm of initial and final states is small ...
Ta-Tsien Li
exaly   +4 more sources

Local Exact Boundary Controllability for Nonlinear Wave Equations

SIAM Journal on Control and Optimization, 2007
This paper deals with the local exact boundary controllability for dynamics governed by nonlinear wave equations, subject to Dirichlet, Neumann, or any other kind of boundary controls which result in well-posedness of the corresponding initial-boundary value problem. A constructive method is developed.
Zhen Lei
exaly   +2 more sources

Exact Boundary Controllability of the Wave Equation as the Limit of Internal Controllability

SIAM Journal on Control and Optimization, 1992
Summary: This paper presents the study of the following problem of exact controllability concerning the wave equation with Dirichlet boundary conditions. Using Lion's Hilbert uniqueness method (HUM), Zuazua has given a positive answer to the problem of exact controllability when the control is distributed and acts on an \(\varepsilon\)-neighborhood of ...
exaly   +3 more sources

Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls

Chinese Annals of Mathematics Series B, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bopeng Rao, Rao Bopeng, Tatsien Li
exaly   +3 more sources

LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS

Chinese Annals of Mathematics Series B, 2002
For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem.
Bopeng Rao, Ta-Tsien Li
exaly   +2 more sources

Exact Controllability of a Koiter Shell by a Boundary Action

Journal of Elasticity, 1998
Summary: We show that a Koiter shell can be exactly controlled by a boundary control if its middle surface is not ``too far'' from a plane. The HUM method is used to obtain this result.
Miara, Bernadette, Valente, Vanda
openaire   +2 more sources

Exact Boundary Controllability and Non-exact Boundary Controllability

2019
In this chapter, we will study the exact boundary controllability and the non-exact boundary controllability for the coupled system (III) of wave equations with coupled Robin boundary ...
Tatsien Li, Bopeng Rao
openaire   +1 more source

Local Exact Boundary Controllability of the Boussinesq Equation

SIAM Journal on Control and Optimization, 1998
Summary: We study the local exact boundary controllability problem for the Boussinesq equations that describe an incompressible fluid flow coupled to thermal dynamics. The result that we get in this paper is as follows: suppose that \(\widehat y(t,x)\) is a given solution of the Boussinesq equation where \(t \in(0,T)\), \(x \in \Omega\), \(\Omega\) is ...
Fursikov, A. V., Imanuvilov, O. Yu.
openaire   +2 more sources

Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions

Chinese Annals of Mathematics, Series B, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yue, Leugering, Günter, Li, Tatsien   +2 more
openaire   +2 more sources

Exact Boundary Controllability of a Maxwell Problem

SIAM Journal on Control and Optimization, 2000
The author studies the exact boundary controllability for the following simplified form of a Maxwell problem in the time interval \(I:= [0,T]\): \[ \begin{cases} \partial_t E=\nabla_x\wedge H,\;\partial_t H=-\nabla_x\wedge E\quad &\text{in }I\times \Omega,\\ (E(0,\cdot), H(0,\cdot))= (E^0, H^0),\\ \nu\wedge E= J\quad &\text{on }I\times \Gamma,\end ...
openaire   +1 more source