Input–output gain analysis of positive periodic systems

Bohao Zhu, James Lam, Yoshio Ebihara

研究成果: Contribution to journalArticle査読

抄録

This paper investigates the input-output gains, including ℓ1- and ℓ-gains and L1- and L-gains, of discrete-time and continuous-time positive periodic systems. For the discrete-time case, the input–output gain can be characterized by linear inequalities. For the continuous-time case, the input–output gain characterization problem turns into the existence problem of a positive periodic vector function. Based on some necessary and sufficient input–output gain conditions, we find the ℓ1- (L1-) gain of discrete-time (continuous-time) positive periodic systems is equivalent to the of ℓ- (L-) gain of the associated dual systems. Finally, two numerical examples are given to illustrate the results.

本文言語英語
ページ(範囲)2928-2945
ページ数18
ジャーナルInternational Journal of Robust and Nonlinear Control
31
8
DOI
出版ステータス出版済み - 5 25 2021

All Science Journal Classification (ASJC) codes

  • 制御およびシステム工学
  • 化学工学(全般)
  • 生体医工学
  • 航空宇宙工学
  • 機械工学
  • 産業および生産工学
  • 電子工学および電気工学

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