Dominant Pole Analysis of Linear Positive Systems with Multiple Time-Delays

• Nishio Naoya

  Graduate School of Engineering, Kyoto University

• Ebihara Yoshio

  Graduate School of Engineering, Kyoto University

• Hagiwara Tomomichi

  Graduate School of Engineering, Kyoto University

Bibliographic Information

Other Title

• 複数のむだ時間を有する線形非負システムの支配極解析
• フクスウ ノ ムダジカン オ ユウスル センケイ ヒフシステム ノ シハイキョク カイセキ

Abstract

This paper is concerned with the dominant pole analysis of asymptotically stable time-delay positive systems (TDPSs) with multiple delays. It has been shown recently that the dominant pole of a stable TDPS with a single delay increases and hence the convergence performance degrades according to the increase of the delay, if and only if the associated state space matrices satisfy an eigenvalue-sensitivity condition. This paper extends these preceding results to TDPSs with multiple delays. As a main result, we show that the dependence of the dominant pole upon the variation of multiple delays can be completely determined by the eigenvalue-sensitivity condition with respect to the state space matrices corresponding to the varying delays.

Journal

• Transactions of the Institute of Systems, Control and Information Engineers

  Transactions of the Institute of Systems, Control and Information Engineers 28 (4), 147-154, 2015

  THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

Keywords

• time-delay positive systems
• dominant pole
• eigenvalue-sensitivity

Details

• CRID: 1390282680145900544
• NII Article ID: 130005088337
• NII Book ID: AN1013280X
• DOI: 10.5687/iscie.28.147
• ISSN: 2185811X
• ISSN: 13425668
• NDL BIB ID: 026317827
• Web Site: http://id.ndl.go.jp/bib/026317827
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026317827
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed