ZHAO Zhixin,TANG Hui,FENG Yu*.Properties of the main operator of parallel repairable system with different failure modes[J].Journal of Yanbian University,2019,45(04):292-298.
具有不同故障模式的并联可修复系统 主算子的性质研究
- Title:
- Properties of the main operator of parallel repairable system with different failure modes
- 文章编号:
- 1004-4353(2019)04-0292-07
- Keywords:
- repairable system; spectral bound; confinal
- 分类号:
- O29
- 文献标志码:
- A
- 摘要:
- 研究了具有不同故障模式的并联可修复系统.首先运用C0半群理论,证明了系统主算子为预解正算子,并给出了系统主算子的共轭算子及其定义域.然后利用共尾和预解正算子理论,证明了系统主算子的谱界与增长界相等.
- Abstract:
- This paper presents a parallel repairable system with different failure modes. Firstly, we prove the main operator of the system is a resolvent positive operator by using C0 semigroup theory. The adjoint operator of the main operator and its domain is obtained. Then, we prove the spectral bound of the system main operator is equal to its growth bound by using confinal and the resolvent positive operator theory.
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备注/Memo
收稿日期: 2019-10-25 *通信作者: 冯宇(1983—),女,讲师,研究方向为可靠性研究.
基金项目: 国家自然科学基金资助项目(11601040; 11701042)