Damped wave equations with dynamic boundary conditions
نویسندگان
چکیده
منابع مشابه
Damped Wave Equations with Dynamic Boundary Conditions
We discuss several classes of linear second order initial-boundary value problems, where damping terms appear in the main wave equation as well as in the dynamic boundary condition. We investigate their wellposedness and describe some qualitative properties of their solutions, including boundedness, stability, or almost periodicity. In particular, we are able to characterize the analyticity of ...
متن کاملRobustness of Networked Boundary Control of Damped Wave Equations
This chapter considers the boundary control of damped wave equations using a boundary measurement in a networked control system (NCS) setting. In this networked boundary control system, the induced delays can be lumped as the boundary measurement delay. The Smith predictor is applied to the networked boundary control problem and the instability problem due to large delays is solved and the sche...
متن کاملRobustness of Boundary Control of Damped Wave Equations with Large Delays at Boundary Measurement
The Smith predictor is applied to the boundary control of damped wave equations with large delays at the boundary measurement. The instability problem due to large delays is solved and the scheme is proved to be robust against a small difference between the assumed delay and the actual delay. Copyright c ©2005 IFAC
متن کاملA note on the IBVP for wave equations with dynamic boundary conditions
The systemmodels an elastic body’s transverse vibration. For details, please see the paper of Lemrabet []. In [–] and the references therein, one can find more details as regards dynamic boundary conditions. Moreover, Heminna [] gives the controllability for elasticity system with two controls: both tangential and normal, under the assumption of the wellposedness for the backward system, wh...
متن کاملExistence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay term in the feedback is less than the weight of the term without delay or if it is greater under an assumption between the damping factor, and the difference of the two weights, we prove the global ex...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2011
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2011.015