| 随机选择修理工的可修复系统指数稳定性分析 |
| |
| 引用本文： | 乔兴,郭丽娜,郑福.随机选择修理工的可修复系统指数稳定性分析[J].数学的实践与认识,2010,40(6). |
| |
| 作者姓名： | 乔兴 郭丽娜 郑福 |
| |
| 作者单位： | 1. 大庆师范学院数学系,黑龙江大庆163712;北京信息控制研究所,北京100037
2. 北京信息控制研究所,北京,100037 |
| |
| 基金项目： | 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.
|
| 关 键 词： | 指数稳定性 本性增长阶 本质谱 摄动 |
Exponential Stability of Repairable System with Repairman Selected Randomly |
| |
| QIAO Xing,GUO Li-na,ZHENG Fu.Exponential Stability of Repairable System with Repairman Selected Randomly[J].Mathematics in Practice and Theory,2010,40(6). |
| |
| Authors: | QIAO Xing GUO Li-na ZHENG Fu |
| |
| Institution: | QIAO Xing~(1,2),GUO Li-na~2,ZHENG Fu~2 (1.Department of Mathematics,Daqing Normal College,Daqing 163712,China) (2.Beijing Institute of Information , Control,Beijing 100037,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | exponential stability essential growth bound essential spectrum perturbation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
