| 有两种可修复方法的复杂可修复系统的最优控制 |
| |
| 引用本文： | 张宇,关丽娟,王辉.有两种可修复方法的复杂可修复系统的最优控制[J].数学的实践与认识,2011,41(12). |
| |
| 作者姓名： | 张宇 关丽娟 王辉 |
| |
| 作者单位： | 1. 哈尔滨师范大学数学科学学院,黑龙江哈尔滨,150025
2. 哈尔滨师范大学文理学院,黑龙江哈尔滨,150301 |
| |
| 摘 要： | 研究了具有两种可修复方法的复杂可修复系统的最优控制问题,首先将此类系统方程转化为对应的Volterra积分方程的形式,然后利用算子半群理论证明了系统解的存在唯一性,再利用范数指标函数作为衡量控制变量的标准,研究有此类系统的最优控制问题,证明了对应的最优控制问题的解的存在唯一性.
|
| 关 键 词： | 可修复系统 范数指标 最优控制 |
Optimal Control of a Complex Repairable System with Two Types of Repair Facilities |
| |
| ZHANG Yu,GUAN Li-juan,WANG Hui.Optimal Control of a Complex Repairable System with Two Types of Repair Facilities[J].Mathematics in Practice and Theory,2011,41(12). |
| |
| Authors: | ZHANG Yu GUAN Li-juan WANG Hui |
| |
| Abstract: | The optimal control problem of a complex repairable system with two types of repair facilities was discussed in this paper.Firstly,the such system is transformed into corresponding Volterra integral equation,then it was proved the existence and uniqueness of solution of such system by operator theory.And constructing the function of norm index as the standard of control variables,the optimal control problem is solved,and it was proved the existence and uniqueness of solution of such optimal control problem. |
| |
| Keywords: | repairable system norm indicators optimal control |
| 本文献已被 万方数据 等数据库收录！ |
|
