| 引用本文: | 唐乾玉,陈翰馥.多步反馈控制作用下的离散事件动态系统的周期计算[J].控制理论与应用,1994,11(3):366~370.[点击复制] |
| TANG Qianyu and CHEN Hanfu.Computation of Period for Discrete Event Dynamic Systems with Multi-State Feedback Control[J].Control Theory and Technology,1994,11(3):366~370.[点击复制] |
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| 多步反馈控制作用下的离散事件动态系统的周期计算 |
| Computation of Period for Discrete Event Dynamic Systems with Multi-State Feedback Control |
| 摘要点击 1157 全文点击 472 投稿时间：1992-11-30 修订日期：1993-12-20 |
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| DOI编号 |
| 1994,11(3):366-370 |
| 中文关键词 离散事件动态系统 极大代数 关键回路 周期 多步反馈控制 |
| 英文关键词 discrete event dynamic systems max-algebra critical circuit period multi-stage feedback control laws |
| 基金项目 |
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| 中文摘要 |
| 我们考察极大代数意义下的线性离散事件动态系统（DEDS）。在多步反馈控制作用下，熟知求系统运行的周期就是要求有rl个顶点的图的关键回路。本文重构一个只有r个顶点的有向赋权图G(F)，证明求系统的周期等价于求G(F)的关键回路，从而将一个求rl个顶点的图的关键回路问题简化为求一个只有r个顶点的图的关键回路问题。 |
| 英文摘要 |
| We consider the linear (in the sense of Max-algebra) discrete event dynamic systems with multi-state feedback control. It is well-known that in order to find the period of the system we need to seek for the critical circuits of a diagraph with rl vertices. In this paper, we reconstruct a weighted multigraph G(F) with r vertices and show that the period of the system can be obtained from the critical circuits of G(F). Thus, the problem of seeking for critical circuits of a diagraph with G vertices is simplified to the one with r vertices. |