摘要
本文讨论了一类具有两不同部件串联的可修复系统。利用系统算子生成的Banach空间中的正压缩C_o半群的性质,证明了系统的非负稳态解恰是系统算子的0本征值所对应的规范化后的本征向量；同时通过对系统算子谱点分布情况的分析,证明了系统算子的谱点均位于复平面左半平面且在虚轴上除0点外无其它谱,作为线性算子半群稳定性的—个直接结果,得出了该串联可修复系统的渐近稳定性。
Stable solution of a repairable system associated with two non-identical units is studied in this paper. The stable solution is derived by the positive C0-semigroup which is generated by system operator and this solution is proved to be the eigenvector responding to the eigenvalue 0. What＇s more, 0 is showed to be the unique spectral point of the system operator on the imaginary axis. As a result, the asymptotic stability of the system is obtained.
出处
《应用数学学报》
CSCD
北大核心
2006年第1期46-52,共7页
Acta Mathematicae Applicatae Sinica
关键词
串联系统
C0半群
稳态解
series system
Co semi-group
stable solution
