含有时滞项的Euler-Bernoulli方程的指数稳定性
he exponential stability ofEuler-Bernoulli equations with delay
本文主要考虑了边界控制中输入有时滞的Euler-Bernoulli梁方程的指数稳定性.其适定性是借助于半群理论和微分方程的解得到的.通过引入能量函数和抽象Lyapunov 泛函,得到在一定条件下Euler-Bernoulli方程的的指数稳定性结果。
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.
蒋卫生、李霭齐
数学力学
偏微分方程指数稳定性Euler-Bernoulli 方程小时滞
Partial differential equationsExponential stabilityEuler-Bernoulli equationSmall delay
蒋卫生,李霭齐.含有时滞项的Euler-Bernoulli方程的指数稳定性[EB/OL].(2017-04-24)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/201704-322.点此复制
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