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一个特殊边界反馈下的Euler-Bernoulli梁的适定性和稳定性

DOI: 10.13190/jbupt.200703.126.zhoucl, PP. 126-133

Keywords: Riesz,,Euler-Bernoulli,,边界控制,稳定性

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Abstract:

考虑了一个特殊边界反馈下的Euler-Bernoulli梁方程,它的边界条件不符合一般的工程设计原则,共轭变量同时出现在同一边界上.使用Riesz基方法证明了该系统在通常的能量状态空间中是适定的,而且当时间趋于无穷时,系统的轨迹趋于零特征子空间.这个例子说明至少在理论上,柔性结构振动控制的边界控制律的设计可以有更多的灵活性.

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