Spectrum Distribution of the Second Order Generalized Distributed Parameter Systems
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摘要: 应用泛函分析算子理论的方法研究了Hilbert空间中二阶广义分布参数系统的谱分布问题,利用有界线性算子的广义逆给出了所讨论问题的解及解的构造性表达式。这对研究二阶广义分布参数系统的镇定及渐进稳定性问题都有重要的理论价值。
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关键词:
- 二阶广义分布参数系统 /
- 谱分布 /
- Hilbert空间 /
- 算子的广义逆
Abstract: Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space.The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator.This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system. -
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