一类具有约束的赋时Petri网的鲁棒性研究
Robustness of a Class of Timed Petri Nets with Constraints
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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.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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Key words:
- Timed Petri nets /
- performance robustness /
- max-min algebra
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