Title
Controllability for transmission wave/plate equations on Riemannian manifolds.
Abstract
In this paper we consider controllability for transmission system of coupling wave equations with Euler–Bernoulli equations on Riemannian manifolds. We show that such a system is exactly controllable by boundary controls only along the exterior boundary, which means there is no control on the interface of the transmission system. Our proofs rely on the Hilbert Uniqueness Method (HUM) and geometric multiplier method.
Year
DOI
Venue
2016
10.1016/j.sysconle.2016.02.016
Systems & Control Letters
Keywords
Field
DocType
Exact controllability,Transmission problem,Riemannian geometry method
Uniqueness,Mathematical optimization,Coupling,Controllability,Mathematical analysis,Transmission system,Ricci-flat manifold,Wave equation,Riemannian geometry,Mathematics,Manifold
Journal
Volume
ISSN
Citations 
91
0167-6911
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
Li Deng1124.32
Zhifei Zhang21010.25