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文章基本信息

  • 标题:A Positive Real Lemma Type-Result with Respect to the Anisotropic Norm for Stochastic Systems with Multiplicative Noise
  • 本地全文:下载
  • 作者:Adrian–Mihail Stoica ; Isaac Yaesh
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:25
  • 页码:281-286
  • DOI:10.1016/j.ifacol.2018.11.119
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThe passivity of discrete–time linear stochastic systems with multiplicative noise is considered, where the systems inputs have bounded anisotropy. Using first principles analysis applying completing the square arguments, it is proved that such systems are passive if a specific Riccati equation has a stabilizing positive semidefinite solution satisfying two additional conditions. The theoretical results are illustrated by a simple numerical example.
  • 关键词:KeywordsPositive-Real LemmaAnisotropyPassivityMultiplicative NoiseH∞.
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