L1-gain Control Design for Positive 2D Continuous Delayed Systems

Zhaoxia Duan, Yue Sun, Choon Ki Ahn, Zhengrong Xiang, Imran Ghous

Research output: Contribution to journalArticlepeer-review


L1-gain control design is investigated in the brief for positive two-dimensional (2D) continuous delayed systems in the form of Roesser models. A new approach based on 2D Laplace transformation is presented to analyze L1-gain stability performance. By using the method of singular value decomposition, linear programming effectively solved the L1-gain controller design problem. Finally, an example is provided to prove the correctness of the result.

Original languageEnglish
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Publication statusAccepted/In press - 2021


  • Biological system modeling
  • Circuit stability
  • Circuits and systems
  • Delays
  • delays
  • L1-gain.
  • positive system
  • Roesser model
  • Stability criteria
  • Sun
  • Two dimensional displays

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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