具有软硬件可修复计算机系统的解的单调稳定性分析  

Quality analysis of the solution of a repairable computer system with hardware and software

作　　者：乔兴[1,2] 陶有德[2] 马丹[1] 

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：《大庆师范学院学报》2009年第6期52-55,共4页Journal of Daqing Normal University

基　　金：大庆师范学院青年基金项目(08ZQ06);河南省科技攻关计划资助项目(092100210070)

摘　　要：在假定可修复计算机系统的故障修复率为常数和系统的失效率相等的前提下,运用数学分析的方法以及微分方程中常系数线性微分方程组的特征线法给出可修复计算机系统模型非负解的解析表达式,利用修复系统模型解的解析表达式给出了该修复系统模型稳态解的具体表达式,最后运用数学分析的方法给出了由硬件和软件组成的计算机可修复串联系统非负解的单调稳定性的证明。Assume that the repairable computer system＇s fault repair rate was constant and system failure rate was same in this paper. By using mathematical analysis method as well as the method of characteristics of the constant coefficient linear differential equations; we have the analytical expression of the repairable computer system＇s non-negative solution, the specific expression of the repairable system＇s steady-state solution. Finally, we proved the monotone stability of a non-negative strong solution of a series repairable computer system with hardware and software by using mathematical analysis.

关 键 词：积分-微分方程组 单调稳定性 矩阵解法 稳态解 串联系统 

分 类 号：O175.21[理学—数学] TP309[理学—基础数学]