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Stochastic stabilization of linear systems under delayed and noisy feedback control

  • Zong Xiaofeng
  • , Li Tao*
  • , Zhang Ji-Feng
  • *此作品的通讯作者
  • China University of Geosciences, Wuhan
  • CAS - Academy of Mathematics and System Sciences
  • University of Chinese Academy of Sciences

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

This paper is to study the stabilizability and stabilization issues of linear dynamical systems based on the delayed and noisy feedback control. For the general linear systems, the necessary conditions and sufficient conditions for mean square and almost sure stabilizability are deduced and the corresponding feedback controls are designed according to the generalized algebraic Riccati equation. It is revealed that the stabilizability is up to the system parameters (delays, noises, and unstable eigenvalues of the original system) and unstable systems can be stabilized in mean square if the feedback control is disturbed by noises with small intensities. It is showed that second-order integrator systems must be stabilizable for any given noise intensity and delay.

源语言英语
主期刊名Proceedings of the 36th Chinese Control Conference, CCC 2017
编辑Tao Liu, Qianchuan Zhao
出版商IEEE Computer Society
1882-1887
页数6
ISBN(电子版)9789881563934
DOI
出版状态已出版 - 7 9月 2017
活动36th Chinese Control Conference, CCC 2017 - Dalian, 中国
期限: 26 7月 201728 7月 2017

出版系列

姓名Chinese Control Conference, CCC
ISSN(印刷版)1934-1768
ISSN(电子版)2161-2927

会议

会议36th Chinese Control Conference, CCC 2017
国家/地区中国
Dalian
时期26/07/1728/07/17

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