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标题：Converse passivity theorems * * The authors gratefully acknowledge the support of the Institute for Mathematics and its Applications, where this work was initiated during the 2015-2016 program on Control Theory and its Applications.
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作者：Sei Zhen Khong ; Arjan van der Schaft
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：9573-9576
DOI：10.1016/j.ifacol.2017.08.1670
语种：English
出版社：Elsevier
摘要：AbstractPassivity is an imperative concept and a widely utilized tool in the analysis and control of interconnected systems. It originates from the mathematical modelling of physical systems, including network synthesis and mechanical systems. It has also proved to be a key notion in adaptive and robust control. While many theorems on passivity are known in systems and control theory their converse statements have received much less attention. This paper establishes various versions of converse passivity theorems for nonlinear feedback systems. In particular, open-loop passivity is shown to be necessary to ensure closed-loop passivity from an input-output perspective. Moreover, the stability of the feedback interconnection of a specific system with an arbitrary passive system is shown to imply passivity of the system itself.
关键词：KeywordsPassivityfeedbackrobustness