gap度量下线性时变系统的鲁棒性

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gap度量下线性时变系统的鲁棒性徐晓萍, 石岩月中国海洋大学数学科学学院青岛 266100 Robustness for Linear Time-varying Systems Using the Gap Metric Xiao Ping XU, Yan Yue SHISchool of Mathematical Sciences, Ocean University of China, Qingdao 266100, P. R. China

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摘要本文主要在套代数框架下研究了线性时变系统的鲁棒稳定性.当系统和控制器具有gap度量下相互独立的扰动时，应用系统图和控制器图的三角形式，给出了该类系统鲁棒稳定的充分条件.进一步地，还给出了多个系统同时鲁棒稳定的充分条件.数值结果表明结论是有效的.

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收稿日期: 2020-06-22

MR (2010):

O177.1

基金资助:国家自然科学基金资助项目（11701537）；中央高校基本科研业务费（201964007）

作者简介: 徐晓萍,E-mail:xxpouc@163.com;石岩月,E-mail:shiyanyue@163.com

引用本文:

徐晓萍, 石岩月. gap度量下线性时变系统的鲁棒性[J]. 数学学报, 2021, 64(6): 881-894. Xiao Ping XU, Yan Yue SHI. Robustness for Linear Time-varying Systems Using the Gap Metric. Acta Mathematica Sinica, Chinese Series, 2021, 64(6): 881-894.

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