摘要
研究了修理工可延误休假的冷贮备可修系统．通过选取空间及定义算子，将模型方程转化成Banach空间中抽象的Cauchy问题，运用预解正算子和函半群理论证明了系统动态解的存在唯一性，并通过分析系统算子的谱分布，得出系统算子的严格占优本征值及近似本征值，进而得到系统的指数稳定性．
The cold standby redundant repairable system with delay vacations is studied in the paper. By choosing state space and defining operators of systems,we transfer model into an abstract Cauchy problem. The unique existence of the system solution is discussed by using C0-semigroup theory and resolvent positive operator.By analyzing the spectra distribution of the system operator, we can obtain the strictly dominant eigenvalue and the approximate eigenvalue of the system operator. As a result, exponential stability of the system operator is obtained.
出处
《数学的实践与认识》
北大核心
2018年第1期185-191,共7页
Mathematics in Practice and Theory
关键词
延误休假
严格占优本征值
近似本征值
指数稳定性
delay vacation
strictly dominant eigenvalue
approximate eigenvalue
exponential stability
