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  • 标题:A consequence of invertibility on the normal form of a MIMO nonlinear systems
  • 本地全文:下载
  • 作者:Lei Wang ; Lei Wang ; Alberto Isidori
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2016
  • 卷号:49
  • 期号:18
  • 页码:856-861
  • DOI:10.1016/j.ifacol.2016.10.273
  • 语种:English
  • 出版社:Elsevier
  • 摘要:Abstract: In this paper, a relevant consequence of invertibility on the normal form of MIMO nonlinear systems is presented. Making full use of the definition of uniform invertibility in the sense of Singh, the multipliers δ i+1(x)’s in the normal form are shown to possess a special property, that is to be triangularly dependent on the x 2,i ’s. As a matter of fact, this property turns out to be necessary and sufficient for uniform invertibility in the case of a two-input two-output systems having normal form. Moreover, we also show that invertibility, or this special property of the multipliers, is a sufficient condition of uniform complete observability.
  • 关键词:KeywordsMulti-input multi-output nonlinear systemsnormal forminvertibilityobservability
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