具有K个储备部件和N个故障状态可修复系统主算子性质

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英文篇名：Properties of the Main Operator of a Repairable System with N Failure Modes and K Standby Unit 作者：赵志欣 ; 乔兴 ; 任寒景 英文作者：ZHAO Zhi-xin;QIAO Xing;REN Han-jing;School of Mathematical, Changchun Normal University;School of Mathematical, Jilin University;School of Mathematical Science, Daqing Normal University;School of Mathematical Sciences, University of Chinese Academy of Sciences;Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences; 关键词：共尾 ; 谱上界 ; 可修复系统 英文关键词：confinal;;upper spectral bound;;repairable system 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：长春师范大学数学学院;吉林大学数学学院;大庆师范学院数学系;中国科学院大学数学科学学院;中国科学院数学与系统科学研究院系统控制重点实验室; 出版日期：2019-04-23 出版单位：数学的实践与认识 年：2019 期：v.49 基金：国家自然科学基金(11601040);; 吉林省教育厅“十三五”科学技术项目(JJKH20170649KJ);; 黑龙江省教育厅基本科研业务费项目(1353MSYYB017) 语种：中文; 页：SSJS201908021 页数：7 CN：08 ISSN：11-2018/O1 分类号：183-189

摘要

研究了具有N个故障状态和K个储备部件的可修复系统.将系统转化为Bancah空间中的Cauchy问题,分析了系统主算子的谱特征.运用正算子及共尾等理论,证明了系统主算子的增长界和谱上界相等.
        This paper presents a repairable system with N failure modes and K standby units. The system equations can be transformed into the abstract Cauchy problem in the Banach space, it analyzes spectrum feature of system main operator. By using the positive operators and the concept of confined theory, we prove the system main operator the spectral bound is equal to its growth bound.

引文

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