Stabilization of transmission hyperbolic equations on Riemannian manifolds

Author

Zhang Wen ; Zhang Zhifei

Author_Institution

Dept. of Math. Sci., Xiamen Univ., Xiamen, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2670

Lastpage

2675

Abstract

This paper considers the stabilization problem for a model arising in the control of noise, coupling the wave equation with a Kirchhoff plate equation on Riemannian manifold. By introducing nonlinear boundary feedback control, we establish the exponential energy decay for the problem. Our proofs rely on the multiplier method and the Riemannian geometry method.

Keywords

feedback; hyperbolic equations; nonlinear control systems; stability; wave equations; Kirchhoff plate equation; Riemannian geometry method; Riemannian manifolds; exponential energy decay; multiplier method; noise control; nonlinear boundary feedback control; transmission hyperbolic equation stabilization; wave equation; Abstracts; Educational institutions; Equations; Manifolds; Mathematical model; Propagation; Vectors; Nonlinear feedbacks; Stabilization; Transmission hyperbolic equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897058

Filename

6897058

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=234492