文章基本信息

标题：Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
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作者：Sulan Li
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：88
DOI：10.1186/s13662-018-1542-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper investigates the problems of robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties. Firstly, some sufficient conditions of the robust asymptotical stable for such fractional-order uncertain systems are derived. Secondly, the robust stabilizing state-feedback controller is designed. All the results are obtained in terms of linear matrix inequalities (LMIs). Lastly, three numerical examples are provided to demonstrate the correctness and effectiveness of the proposed approaches.
关键词：LTI fractional-order system ; Poly-topic uncertainty ; Two-norm bounded uncertainty ; Robust stability ; Linear matrix inequality