The exponential stability ofEuler-Bernoulli equations with delay

LI Ai-Qi; JIANG Wei-Sheng

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The exponential stability ofEuler-Bernoulli equations with delay

LI Ai-Qi #,JIANG Wei-Sheng *

College of Mathematics and Statistics, Chongqing University, Chongqing 401331

*Correspondence author

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Funding: none

Opened online:24 April 2017

Accepted by: none

Citation: LI Ai-Qi,JIANG Wei-Sheng.The exponential stability ofEuler-Bernoulli equations with delay[OL]. [24 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725134

In this paper,exponential stability analysis of Euler-Bernoulli beam with input delay in the boundary control is considered. Well-posedness of the system is obtained by semigroup theory and the solution of the differential equations. The exponential stability results under some conditions is proved by introducing a energy function and an abstract Lyapunov functional.

Keywords:Partial differential equations; Exponential stability; Euler-Bernoulli equation; Small delay

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