書誌事項
- タイトル別名
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- LMI-based Stability and <i>H</i><sub>∞</sub> Performance Analysis of Discrete-time Positive Systems
- LMIを用いた離散時間非負システムの安定性とH∞性能解析
- LMI オ モチイタ リサン ジカン ヒフシステム ノ アンテイセイ ト H ∞ セイノウ カイセキ
- LMI-based Stability and H^|^infin; Performance Analysis of Discrete-time Positive Systems
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抄録
This paper is concerned with the stability and H∞ performance analysis of discrete-time positive systems. In the literature, it is shown that the stability and H∞ performance of continuous-time positive systems can be characterized by LMIs with diagonal Lyapunov matrices. Recently, new LMIs allowing asymmetric matrix solutions have been reported as well. In this paper, by means of the Perron-Frobenius theorem, we first show that the Schur stability of a given positive matrix is equivalent to the Hurwitz stability of an appropriately constructed Metzler matrix. Then, we secondly prove that we can construct a continuous-time positive system preserving the stability and H∞ norm of the original discrete-time positive system. By applying existing results to the resulting continuous-time positive systems, we can readily obtain useful LMIs for the stability and H∞ performance analysis of discrete-time positive systems. <br>
収録刊行物
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- システム制御情報学会論文誌
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システム制御情報学会論文誌 26 (1), 45-51, 2013
一般社団法人 システム制御情報学会
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詳細情報 詳細情報について
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- CRID
- 1390282680143701248
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- NII論文ID
- 10031165973
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- NII書誌ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- HANDLE
- 2433/193935
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- NDL書誌ID
- 024196253
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- IRDB
- NDL
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- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可