离散事件动态系统事件时序的鲁棒性
On Robustness of Event-Order of Deds
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摘要: 指出了离散事件动态系统事件时序同离散事件动态系统的若干重要性质的联系.对 于极大代数描述的DEDS模型,较系统地研究了事件时序在参数发生区间摄动情形下的鲁 棒性的有限检验问题.对于事件发生时刻是摄动参数的仿射线性函数的情形,得到事件时序 鲁棒性的Kharitonov-like判据.对于事件发生时刻是摄动参数的多项式函数的情形,证明其 通常不存在事件时序鲁棒性的顶点有限检验判据.给出了这种情形下事件时序在参数发生摄 动时能够保持的一个充分条件.Abstract: In this paper, we point out the relations between event-order and several important properties of Discrete Event Dynamic Systems. We obtain a series of results on robustness of event-order for the maximum algebra DEDS model. A Kharitonov-like finite check criterion for robustness of event-order is given for the case in which the event occurrences are affine linear function of perturbed parameters. Vertex check is shown not sufficient to determine the robustness of event-order under more general circumstances by a counter-example. A sufficient condition for DEDS to preserve event-order under parameter perturbations is then given for the polynomial case.
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Key words:
- DEDS /
- event-order /
- robustness /
- affine linear function
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