| 引用本文: | 邹云，杨成梧，翟长连.线性定常系统的δ－算子描述──能控性与能稳性*[J].控制理论与应用,1996,13(4):527~531.[点击复制] |
| ZOU Yun，YANG Chengwu and ZHAI Changlian.Controllability and Stabilizability of Linear Time-Invariant Systems in the Delta Operator Descriptions[J].Control Theory and Technology,1996,13(4):527~531.[点击复制] |
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| 线性定常系统的δ－算子描述──能控性与能稳性* |
| Controllability and Stabilizability of Linear Time-Invariant Systems in the Delta Operator Descriptions |
| 摘要点击 1173 全文点击 510 投稿时间：1994-12-19 修订日期：1995-09-11 |
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| DOI编号 |
| 1996,13(4):527-531 |
| 中文关键词 δ－算子 能控性 能稳性 能控度 能稳度 线性系统 |
| 英文关键词 delta-operator description controllability stabilizability margins of controllability and stabilizablity linear systems |
| 基金项目 |
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| 中文摘要 |
| 本文讨论了δ－算子描述下的线性定常系统的能控性与能稳性问题．研究结果表明：虽然两种描述（即传统的ｑ－算子描述和本文讨论的δ－算子描述）方法下的能控性定义及判据形式上并无二致，然而在高速采样的条件下，两种描述方法下的系统的能控度与能稳度呈现出完全相反的特性，一般而言，δ－算子描述方法更加适合高速采样情形． |
| 英文摘要 |
| In this paper，the problems of controllability and stabilizability for the linear time-invariant systems based on delta operator model are discussed. It is shown that the controllability and stabilizability margins of this new model，at least in the case of high-speed sampling rate，is much more closed up to its continuous counterparts than that of the traditional models based on shift operators is，while the latter equal (τ)，where ? represents the sampling step. However，the corresponding criteria for the controllability and stability of the models are all the same as those traditional results in form. |