Stabilization of transmission hyperbolic equations on Riemannian manifolds

被引：0

作者：

Zhang Wen ^{[1
]}

Zhang Zhifei ^{[2
]}

机构：

[1] Xiamen Univ, Dept Math Sci, Xiamen 361005, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

关键词：

Stabilization; Transmission hyperbolic equations; Nonlinear feedbacks; WAVE-EQUATIONS; OBSERVABILITY INEQUALITIES;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2670 / 2675

页数：6

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