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| 常规故障和定期维修的冗余系统的指数稳定性 | |
| 引用本文： | 郑福,乔兴,赵立杰.常规故障和定期维修的冗余系统的指数稳定性[J].数学的实践与认识,2011,41(21). |
| 作者姓名： | 郑福 乔兴 赵立杰 |
| 作者单位： | 1. 渤海大学数学系,辽宁锦州121002;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;大庆师范学院数学系,黑龙江大庆163712 3. 延边大学人事处,吉林延吉,133002 |
| 基金项目： | 大庆师范学院科研基金项目 |
| 摘 要： | 利用C_0-半群理论证明了具有常规故障和定期维修的冗余系统非负解的存在唯一性,并研究了相应算子的谱特征,通过分析本质谱界经过紧扰动后的变化,得到系统动态解以指数形式收敛于稳态解. |
| 关 键 词： | C_0-半群 本质谱界 指数稳定性 |
Exponential Stability of A Stand-by System with Common-cause Failures and Scheduled Maintenance |
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| ZHENG Fu,QIAO Xing,ZHAO Li-jie.Exponential Stability of A Stand-by System with Common-cause Failures and Scheduled Maintenance[J].Mathematics in Practice and Theory,2011,41(21). | |
| Authors: | ZHENG Fu QIAO Xing ZHAO Li-jie |
| Institution: | ZHENG Fu~(1,2),QIAO Xing~(2,3),ZHAO Li-jie~4 (1.Department of Mathematics,Bohai University,Jinzhou 121013,China) (2.Beijing Institute of Information and Control,100037,China) (3.Department of Mathematics,Daqing Normal college,Daqing 163712,China) (4.Department of Personnel,Yanbian University,Yanji 133002,China) |
| Abstract: | The existence of a unique nonegative time-dependent solution of a stand-by system with common-cause failures and scheduled maintenance is obtained by using Co-Semigroup theory.The spectral properties and the essential spectrum bound of the stand-by system are discussed by using perturbation method.In the end,we get the desired result that the dynamic solution of the system exponentially tends to the steady solution. |
| Keywords: | Co-semigroup essential spectral bound exponential stability |
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