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双回路复杂波网络的镇定
  • ISSN号：1000-8152
  • 期刊名称：《控制理论与应用》
  • 分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]天津大学电气与自动化工程学院自动化系,天津300072, [2]天津大学理学院数学系,天津300072
  • 相关基金：国家自然科学基金资助项目（NSFC-60874034）.
作者： 王雷[1], 许跟起[2]
关键词： 复杂网络, C0半群, 渐近稳定, 谱分析, 特征模态, complex network, Co semigroup, asymptotic stable, spectral analysis, characteristic modes
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 sys- tem 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.

同期刊论文项目
偏微分网络系统的控制
期刊论文 36 会议论文 16 著作 2
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期刊信息
  • 《控制理论与应用》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中国科学院数学与系统科学研究院
  • 主编：胡跃明
  • 地址：广州五山路华南理工大学3号楼516室
  • 邮编：510640
  • 邮箱：aukzllyy@scut.edu.cn
  • 电话：020-87111464
  • 国际标准刊号：ISSN：1000-8152
  • 国内统一刊号：ISSN：44-1240/TP
  • 邮发代号:46-11
  • 获奖情况:
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  • 被引量:21084