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Numerical computation of sign-indefinite linear quadratic differential games for weakly coupled large-scale systems
https://hiroshima.repo.nii.ac.jp/records/2007091
https://hiroshima.repo.nii.ac.jp/records/200709135b60dc4-4fb9-4a85-8da7-865af43c88ea
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
IJC_80_75.pdf (124.2 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||
|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||
| タイトル | ||||||||
| タイトル | Numerical computation of sign-indefinite linear quadratic differential games for weakly coupled large-scale systems | |||||||
| 言語 | en | |||||||
| 作成者 |
Mukaidani, Hiroaki
× Mukaidani, Hiroaki
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| アクセス権 | ||||||||
| アクセス権 | open access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| 権利情報 | ||||||||
| 権利情報 | Copyright (c) 2007 Taylar & Francis | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | weakly coupled large-scale systems | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | indefinite linear quadratic differential games | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | cross coupled sign-indefinite algebraic Riccati equations | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | CSARE | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Lyapunov iterations | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | recursive algorithm | |||||||
| 主題 | ||||||||
| 主題Scheme | NDC | |||||||
| 主題 | 530 | |||||||
| 内容記述 | ||||||||
| 内容記述 | In this paper, N-player linear quadratic differential games that are sign-indefinite for infinite horizon weakly coupled large-scale systems are discussed. After establishing the asymptotic structure and local uniqueness of the solution for cross-coupled sign-indefinite algebraic Riccati equations (CSARE), a new algorithm for solving CSARE is provided. It is shown that the proposed algorithm attains linear convergence. Moreover, in order to reduce the computational workspace, the recursive algorithm is combined. Finally, a high-order approximation strategy based on the proposed iterative solutions is described. As a result, it was recently proved that the numerical strategy achieves a high-order approximation of the equilibrium value. As another important feature, when the small parameters are unknown, a parameter-independent strategy is developed. | |||||||
| 言語 | en | |||||||
| 出版者 | ||||||||
| 出版者 | Taylor & Francis | |||||||
| 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 | AO | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |||||||
| 関連情報 | ||||||||
| 関連名称 | This is an electronic version of an article published in International Journal of Control Vol.80 No.1 pp.,75-86, 2007. International Journal of Control is available online at : http://www.informaworld.com | |||||||
| 関連情報 | ||||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | 10.1080/00207170600927109 | |||||||
| 関連情報 | ||||||||
| 関連タイプ | isVersionOf | |||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | http://dx.doi.org/10.1080/00207170600927109 | |||||||
| 収録物識別子 | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0020-7179 | |||||||
| 収録物識別子 | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00680115 | |||||||
| 開始ページ | ||||||||
| 開始ページ | 75 | |||||||
| 書誌情報 |
International Journal of Control International Journal of Control 巻 80, 号 1, p. 75-86, 発行日 2007-01 |
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| 旧ID | 26410 | |||||||
