文章基本信息

标题：The Hankel-Type L q/L p Induced Norms of Positive Systems Across Switching
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作者：Y. Ebihara ; D. Peaucelle ; D. Arzelier 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：4719-4724
DOI：10.1016/j.ifacol.2020.12.595
语种：English
出版社：Elsevier
摘要：AbstractThe Hankel-typeLq/Lpinduced norms across a single switching over two linear time-invariant (LTI) positive systems are discussed. The norms are defined as the induced norms from vector-valued Lp-past inputs to vector valued Lq-future outputs across a switching at the time instant zero. The Hankel-typeL2/L2induced norm across a single switching for general LTI systems is studied in details to evaluate the performance deterioration caused by switching. Thanks to the strong positivity property, we successfully characterize the Hankel-typeLq/Lpinduced norms for the positive system switching even forp, qbeing 1, 2, ∞. In particular, we will show that some of them are given in the form of linear program and semidefinite program (SDP). The SDP-based characterizations are useful for the analysis of the Hankel-typeLq/Lpinduced norms where the systems of interest are affected by parametric uncertainties.
关键词：Keywordspositive system switchingHankel-typeLq/Lpinduced normlinear programmingsemidefinite programming