| 一类具有约束的赋时Petri网的鲁棒性研究 |
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| 引用本文： | 赵千川,郑大钟.一类具有约束的赋时Petri网的鲁棒性研究[J].自动化学报,2000,26(6):803-806. |
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| 作者姓名： | 赵千川 郑大钟 |
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| 作者单位： | 1.清华大学自动化系,北京 |
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| 基金项目： | 国家自然科学基金，攀登计划和清华大学 985课题资助项目 |
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| 摘 要： | 研究一类可以用(max,min,+)等代数运算描述的具有约束的赋时Petri网的性能
鲁棒性.首先给出了此类Petri网的统一的代数描述,并将性能鲁棒性问题形式化.接着给出
了参数区间摄动情形下性能保持鲁棒性的一个充分条件.对于仅包含(min,+)和(min,max)
运算的特殊情形,得到了参数区间摄动情形下性能保持鲁棒性的充分必要条件.
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| 关 键 词： | 赋时Petri网 性能鲁棒性 极大极小代数 |
| 收稿时间： | 1998-12-28 |
ROBUSTNESS OF A CLASS OF TIMED PETRI NETS WITH CONSTRAINTS |
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| ZHAO Qianchuan,ZHENG Dazhong.ROBUSTNESS OF A CLASS OF TIMED PETRI NETS WITH CONSTRAINTS[J].Acta Automatica Sinica,2000,26(6):803-806. |
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| Authors: | ZHAO Qianchuan ZHENG Dazhong |
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| Affiliation: | 1.Department of Automation,Tsinghua University,Beijing |
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| Abstract: | This paper studies the performance robustness of a class of timed Petri nets with constraints which are described by operations (max,min, ).The algebra model and performance robustness problem of this class of timed Petri nets are formed. A sufficient condition for the performance to be robust under interval parameter perturbations is obtained. For the cases of including only (min, ) or (min, max) operations, the sufficient and necessary conditions are established for the performance to be robust. |
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| Keywords: | Timed Petri nets performance robustness max min algebra |
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