| 极小-极大-加系统(F,G,H)的能达能观性 |
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| 引用本文： | 朱忠熏,陈文德,宁娣.极小-极大-加系统(F,G,H)的能达能观性[J].控制与决策,2009,24(1). |
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| 作者姓名： | 朱忠熏 陈文德 宁娣 |
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| 作者单位： | 1. 中南民族大学计算机科学学院,武汉,430074
2. 中国科学院数学与系统科学研究院,北京,100080 |
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| 基金项目： | 中南民族大学校科研和教改项目 |
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| 摘 要： | 在数字电路中,两个时间信号通过逻辑电路的"与"门相当于极大运算,"或"门相当于极小运算.因此,极小-极大-加系统可用于数字电路的时间分析.对于非线性极强的极小-极大-加系统(F,G,H),引入了分别能达和上限能观的概念.利用图论的方法给出了极小-极大-加系统(F,G,H)的状态变量xt为分别能达分量的充要条件,同时,还得到了xt为上限能观分量的充要条件.
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| 关 键 词： | 离散事件动态系统 极小-极大-加系统 极大-加代数 分别能达 上限能观 |
Reachability and observability of min-max-plus systems(F,G,H) |
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| ZHU Zhong-xun,CHEN Wen-de,NING Di.Reachability and observability of min-max-plus systems(F,G,H)[J].Control and Decision,2009,24(1). |
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| Authors: | ZHU Zhong-xun CHEN Wen-de NING Di |
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| Affiliation: | 1.Department of Computer Science;South Central for Nationalities;Wuhan 430074;China;2.Academy of Mathematics and System Sciences;Chinese Academy of Sciences;Beijing 100080;China. |
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| Abstract: | In digital circuit,that two time signals pass through "and" door of logical circuit is about equal to max operation and "or" is min operation.Therefore,the min-max-plus systems can be used to the time analysis of digital circuit.In this paper,for min-max-plus systems(F,G,H),in which nonlinear are very strong,the conceptions of respective reachability and upper-level observability are introduced.The sufficient and necessary conditions for the state variable's respective reachability and upper-level observabi... |
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| Keywords: | Discrete event dynamic systems Min-max-plus systems Max-plus algebra Respective reachability Upper-level observability |
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