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摘要: 研究无穷维线性系统的本征值分布以及系统广义本征元的Riesz基生成问题.对于输 入、输出空间均是无限维空间和输入、输出算子均是无界算子的闭环系统,采用基扰动的方法， 给出了系统广义本征元生成Riesz基的充分条件;并以实例说明了结论的应用.Abstract: In this paper, we deal with the spectrum and Riesz basis of infinite dimensional linear systems with infinite dimensional input-output state spaces and unbounded input-output operators. Using perturbation theory for basis, we give a sufficient condition which ensures all the generalized eigenvectors of the system to form a Riesz basis. A typical example is presented to illustrate the application of our result.
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Key words:
- Closed-loop system /
- output-input spaces /
- Riesz basis
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