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Some Implications of Positivity with Interior Equilibria via Asymmetrically Scaled Sectorial Supply Rates
http://hdl.handle.net/10228/0002001477
http://hdl.handle.net/10228/0002001477eaa09776-5540-4cb2-b25e-5b7a2789bd53
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10449845.pdf (954.3 KB)
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| アイテムタイプ | 共通アイテムタイプ(1) | |||||||||
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| 公開日 | 2025-03-17 | |||||||||
| タイトル | ||||||||||
| タイトル | Some Implications of Positivity with Interior Equilibria via Asymmetrically Scaled Sectorial Supply Rates | |||||||||
| 言語 | en | |||||||||
| その他のタイトル | ||||||||||
| その他のタイトル | Some implications of positivity with interior equilibria via asymmetrically scaled sectorial supply rates | |||||||||
| 言語 | en | |||||||||
| 著者 |
伊藤, 博
× 伊藤, 博
WEKO
2754
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| 著作権関連情報 | ||||||||||
| 権利情報 | Copyright (c) 2024 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | |||||||||
| 言語 | en | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | This paper presents some results to develop dissipative systems theory in terms of asymmetrically scaled sectorial supply rates. The supply rates, which describe strict passivity on asymmetric spaces, were proposed recently by the author to simultaneously verify stability and positivity of dynamical systems whose equilibria are interior points of positive state spaces. This paper demonstrates that systems defined by an asymmetrically scaled sectorial supply rate have finite asymmetric gain if their positivity is guaranteed by the supply rate. For cyclic networks whose component systems are defined by asymmetrically scaled sectorial supply rates, this paper shows that the networks are globally asymptotically stable on the positive space whenever positivity is guaranteed by the individual supply rates. The developments deal with general nonlinear systems. It is illustrated that positive systems design benefits a lot from asymmetrically scaled sectorial supply rates and their implications even for affine compartmental systems for which symmetric methods are ineffective. | |||||||||
| 言語 | en | |||||||||
| 備考 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 2024 SICE Festival with Annual Conference (SICE FES), 27-30 August 2024, Kochi City, Japan | |||||||||
| 言語 | en | |||||||||
| 書誌情報 |
en : 2024 SICE Festival with Annual Conference (SICE FES) p. 1229-1234, 発行日 2024-12-24 |
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| 出版社 | ||||||||||
| 出版者 | IEEE | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Positivity | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Interior equilibria | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Global stability | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Nonlinear systems | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Compartmental systems | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Asymmetric dissipativity | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Logarithmic Lyapunov functions | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | journal article | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | AM | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
| URI | ||||||||||
| 識別子タイプ | URI | |||||||||
| 関連識別子 | https://ieeexplore.ieee.org/document/10805130 | |||||||||
| 会議記述 | ||||||||||
| 会議名 | 2024 SICE Festival with Annual Conference (SICE FES) | |||||||||
| 言語 | en | |||||||||
| 開始年 | 2024 | |||||||||
| 開始月 | 08 | |||||||||
| 開始日 | 27 | |||||||||
| 終了年 | 2024 | |||||||||
| 終了月 | 08 | |||||||||
| 終了日 | 30 | |||||||||
| 開催国 | JPN | |||||||||
| 査読の有無 | ||||||||||
| 値 | yes | |||||||||
| 研究者情報 | ||||||||||
| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/235_ja.html | |||||||||
| 論文ID（連携） | ||||||||||
| 値 | 10449845 | |||||||||
| 連携ID | ||||||||||
| 値 | 14098 | |||||||||
