| 引用本文: | 王雷,许跟起.双回路复杂波网络的镇定[J].控制理论与应用,2011,28(6):759~762.[点击复制] |
| WANG Lei,XU Gen-qi.Stabilization of the complex wave network with two circuits[J].Control Theory and Technology,2011,28(6):759~762.[点击复制] |
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| 双回路复杂波网络的镇定 |
| Stabilization of the complex wave network with two circuits |
| 摘要点击 2138 全文点击 1988 投稿时间：2010-04-09 修订日期：2010-08-20 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.6.CCTA100371 |
| 2011,28(6):759-762 |
| 中文关键词 复杂网络 C_0半群 渐近稳定 谱分析 特征模态 |
| 英文关键词 complex network C_0 semigroup asymptotic stable spectral analysis characteristic modes |
| 基金项目 国家自然科学基金资助项目(NSFC–60874034). |
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| 中文摘要 |
| 本文研究双回路的复杂波网络系统, 主要探索带回路系统的控制问题, 通过设计反馈控制器使得闭环系统稳定. 同时借助于谱分析方法讨论了相应闭环系统算子谱的分布情况并证明了系统算子的(广义)本征向量构成状态空间上的一组加括号Riesz基, 得到了闭环系统特征模态的展开. |
| 英文摘要 |
| A complex wave network with two circuits is stabilized by using a feedback controller for stabilizing the closed-loop. By the spectral analysis, we prove that the system is asymptotic stable, and the spectra of the closed-loop system operator is located in a strip on the left half complex plane and being parallel to the imaginary axis. As a consequence, the sequence of eigenvectors and generalized eigenvectors of the system operator forms the parenthesized Riesz basis for the state space. Hence, the solution of the system can be expanded in the characteristic modes of the system. |