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

Translated title of the contribution: Dominant Pole Analysis of Linear Positive Systems with Multiple Time-Delays

西尾 直也, 蛯原 義雄, 萩原 朋道

Research output: Contribution to journalArticlepeer-review

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.
Translated title of the contributionDominant Pole Analysis of Linear Positive Systems with Multiple Time-Delays
Original languageJapanese
Pages (from-to)147-154
Number of pages8
Journalシステム制御情報学会論文誌
Volume28
Issue number4
DOIs
Publication statusPublished - 2015

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