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依赖延迟线性时滞系统的稳定性判据

朱莹 高其娜 肖扬

朱莹, 高其娜, 肖扬. 依赖延迟线性时滞系统的稳定性判据. 自动化学报, 2013, 39(12): 2150-2153. doi: 10.3724/SP.J.1004.2013.02150
引用本文: 朱莹, 高其娜, 肖扬. 依赖延迟线性时滞系统的稳定性判据. 自动化学报, 2013, 39(12): 2150-2153. doi: 10.3724/SP.J.1004.2013.02150
ZHU Ying, GAO Qi-Na, XIAO Yang. Stability Criteria of Linear Time-delay Systems with Dependent Delays. ACTA AUTOMATICA SINICA, 2013, 39(12): 2150-2153. doi: 10.3724/SP.J.1004.2013.02150
Citation: ZHU Ying, GAO Qi-Na, XIAO Yang. Stability Criteria of Linear Time-delay Systems with Dependent Delays. ACTA AUTOMATICA SINICA, 2013, 39(12): 2150-2153. doi: 10.3724/SP.J.1004.2013.02150

依赖延迟线性时滞系统的稳定性判据

doi: 10.3724/SP.J.1004.2013.02150
基金项目: 

国家自然科学基金(60572093)资助,国防科研课题(102476)资助

详细信息
    作者简介:

    朱莹 北京航空航天大学电子与信息工程学院博士研究生. 北京航空技术研究中心高级工程师. 主要研究方向为多维系统设计和通信与电子系统. 本文通信作者. E-mail:zhuying713272@126.com

Stability Criteria of Linear Time-delay Systems with Dependent Delays

Funds: 

Supported by National Natural Science Foundation of China (60572093) and National Defence Project (102476)

  • 摘要: 由于独立延迟线性时滞(Linear time-delay with independent delays,LTD-ID)系统的稳定条件对系统参数有严格的限制,只有极少数依赖延迟线性时滞(LTD with dependent delays,LTD-DD)系统可满足该稳定条件. LTD-ID 系统的特征多项式属拟多项式,其根为多重延迟的函数,这使得LTD-ID系统的稳定性检验非常困难. 为解决该问题,基于二维域混合多项式,本文提出LTD-DD系统的若干稳定性判据. 应用例表明所提出的稳定性判据是简单的和有效的,所提出的定理4可解决现有LMI稳定性判据的保守性问题.
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出版历程
  • 收稿日期:  2012-04-01
  • 修回日期:  2012-09-19
  • 刊出日期:  2013-12-20

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