[PDF] Top 20 Exact controllability for a wave equation with fixed boundary control

... the control entered the system through the whole non-cylindrical ...some controllability results for the wave equations with Dirichlet boundary conditions in suitable non-cylindrical domains ... See full document

... the controllability and stabiliza- tion problems of wave equations in a cylindrical ...of wave equations defined in non-cylindrical ...hyperbolic-parabolic equation in non-cylindrical domains. ... See full document

... the controllability of the semi-discrete internally controlled 1-D wave equation by using the finite difference ...the exact controllability for the semi-discrete internally controlled ... See full document

... in control theory. In [], the authors established such a controllability result for the semi-discrete one-dimensional boundary controlled wave equation by the numerical approximation ... See full document

... heat equation is only possible if the controllability space is too small such as a section of the boundary of the system, the ...parabolic equation to moment problems and finding the solutions ... See full document

... the exact controllability of ...of wave equations with moving boundary or free boundary is very ...of wave equations in a cylindrical domain, see ...the exact ... See full document

... The controllability of impulsive evolution equations has been studied recently by several authors, but most of them study the exact controllability ...the exact controllability of ... See full document

... a control in the structure equation (or in the boundary conditions of the structure equation), and a control in a part of the boundary conditions of the fluid equation ... See full document

... dynamic boundary conditions. Moreover, Heminna [] gives the controllability for elas- ticity system with two controls: both tangential and normal, under the assumption of the wellposedness for the backward ... See full document

... 6 Controllability of the above system in any Banach spaces with different conditions has been studied by several ...parabolic boundary control equation with L 2 controls can be expressed as a ... See full document

... a fixed frame, a fact which is essential when dealing with boundary ...following controllability problem: Given L > 0 (the lenght of the domain) T > 0 (the final time), y 0 , y T ∈ L 2 (0 , L ... See full document

... approximate controllability of the Navier-Stokes equations with the slip boundary conditions was obtained by ...solve exact control- lability problem for the Euler ...approximate ... See full document

... Obviously, Eq. (5) is a three-parameter planar dynamical system depending on the pa- rameter triplet (c, β, n). Since the phase orbits defined by the vector fields of Eq. (5) deter- mine all traveling wave solutions ... See full document

... some exact solutions to (2) by using the Cole-Hopf transforma- tion and one improved tanh-coth method in ...the exact traveling wave solutions to the integrable equations (2) and (3) from the point ... See full document

... The following simulations were obtained with a direct method consisting in discretizing the underlying dif- ferential equations, the control, and to reduce the optimal control problem to some minimization ... See full document

... []. Equation (.) is reduced to the KdV equation when b =  and to the Sawada-Kotera equation when a = ; thus, it is a linear combination of the KdV equation and the Sawada-Kotera ...this ... See full document

... (KdV-mKdV equation) at first, then we find all exact traveling wave solutions of the combined KdV-mKdV ...periodic exact traveling wave solutions of the combined KdV-mKdV equation ... See full document

... The plan of this paper is as follows. In Section 2, we study the properties of the weak solution of the homogeneous boundary value problem for the formal adjoint L ∗ of the operator of (1.10), which is calculated ... See full document

... In this section we begin to consider the controllability of (1.1). The main idea is to transform the controllability problem to the existence of a fixed point. We observe that this approach has been ... See full document

... of controllability for linear or nonlinear systems which are represented by ordinary differential Balachandran, ...of controllability for dynamic systems represented by fractional s in finite dimensional ... See full document