離散時間非負システムの<i>l<sub>q</sub></i>/<i>l<sub>p</sub></i> Hankelノルム解析
書誌事項
- タイトル別名
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- Analysis of the <i>l<sub>q</sub></i>/<i>l<sub>p</sub></i> Hankel Norms of Discrete-time Positive Systems
- 離散時間非負システムのl[q]/l[p] Hankelノルム解析
- リサン ジカン ヒフシステム ノ l[q]/l[p] Hankel ノルム カイセキ
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説明
<p>The Lq/Lp Hankel norms of continuous-time LTI systems characterize the effect of the past Lp (p=1,2,∞) inputs on the future Lq (q=1,2,∞) outputs. Computing some of these norms of general LTI systems is known to be difficult, but recently it has been shown that we can avoid such difficulties in part when we deal with positive systems. On the other hand, studies on the lq/lp Hankel norms of discrete-time LTI systems are relatively scarce. In view of this fact, in this paper, we focus on the Hankel norms of discrete-time LTI systems. We first show that we face the same difficulties in computing the lq/lp Hankel norms of general discrete-time systems, and then we clarify that such difficulties can be avoided in part when dealing with positive systems. In particular, we show that some of the lq/lp Hankel norms of discrete-time positive systems can be described in closed form and hence easy to compute. Furthermore, we also characterize the lq/lp Hankel norms of positive systems in the form of semidefinite programming problems and linear programming problems. These allows us to compute the upper bounds of the lq/lp Hankel norms of uncertain positive systems by means of convex optimization.</p>
収録刊行物
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- 計測自動制御学会論文集
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計測自動制御学会論文集 57 (3), 128-137, 2021
公益社団法人 計測自動制御学会
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詳細情報 詳細情報について
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- CRID
- 1390287373996456448
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- NII論文ID
- 130007999604
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- NII書誌ID
- AN00072392
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- ISSN
- 18838189
- 04534654
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- NDL書誌ID
- 031353876
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- 本文言語コード
- ja
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- データソース種別
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