随机选择修理工的可修复系统指数稳定性分析  

Exponential Stability of Repairable System with Repairman Selected Randomly

作　　者：乔兴[1,2] 郭丽娜[2] 郑福[2] 

机构地区：[1]大庆师范学院数学系,黑龙江大庆163712 [2]北京信息控制研究所,北京100037

出　　处：《数学的实践与认识》2010年第6期140-144,共5页Mathematics in Practice and Theory

基　　金：大庆师范学院科学研究基金(08ZQ06);河南省科技攻关计划资助项目(092100210070)

摘　　要：讨论了一个随机选择修理工的可修复系统解的指数稳定性,首先通过对积分微分方程组描述的可修复系统生成的系统算子的本质谱的增长性约束和扰动后本质谱半径的变化情况进行分析,进而得到了可修复系统解的指数稳定性.In this paper,we deal with the exponential stability of a repairable system with repairman selected randomly.By the method of strong continuous semi-group theory, discussing the restriction of essential spectral growth bound of the system operator corresponding to the integro-differential equations describing this repairable system.The essential spectral radius of the system operator is also studied before and after perturbation.So we can obtain the desired result.

关 键 词：指数稳定性 本性增长阶 本质谱 摄动 

分 类 号：O231.3[理学—运筹学与控制论]