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A numerical analysis of the Nash strategy for weakly coupled large-scale systems
https://hiroshima.repo.nii.ac.jp/records/2007001
https://hiroshima.repo.nii.ac.jp/records/2007001711e17c4-065a-49cf-b933-f923501f9e5a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
TN05-02-23.pdf (316.3 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 | A numerical analysis of the Nash strategy 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) 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Cross-coupled algebraic Riccati equations (CARE) | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Fixed-point algorithm | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Nash games | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Newton's method | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Weakly coupled large-scale systems | |||||||
| 主題 | ||||||||
| 主題Scheme | NDC | |||||||
| 主題 | 410 | |||||||
| 内容記述 | ||||||||
| 内容記述 | his note discusses the feedback Nash equilibrium of linear quadratic N-player Nash games for infinite-horizon large-scale interconnected systems. The asymptotic structure along with the uniqueness and positive semidefiniteness of the solutions of the cross-coupled algebraic Riccati equations (CAREs) is newly established via the Newton-Kantorovich theorem. The main contribution of this study is the proposal of a new algorithm for solving the CAREs. In order to improve the convergence rate of the algorithm, Newton's method is combined with a new decoupling algorithm; it is shown that the proposed algorithm attains quadratic convergence. Moreover, it is shown for the first time that solutions to the CAREs can be obtained by solving the independent algebraic Lyapunov equation (ALE) by using the reduced-order calculation. | |||||||
| 言語 | en | |||||||
| 出版者 | ||||||||
| 出版者 | IEEE | |||||||
| 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 | VoR | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| 関連情報 | ||||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | 10.1109/TAC.2006.878744 | |||||||
| 関連情報 | ||||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | http://dx.doi.org/10.1109/TAC.2006.878744 | |||||||
| 収録物識別子 | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0018-9286 | |||||||
| 収録物識別子 | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00667671 | |||||||
| 開始ページ | ||||||||
| 開始ページ | 1371 | |||||||
| 書誌情報 |
IEEE Transactions on Automatic Control IEEE Transactions on Automatic Control 巻 51, 号 8, p. 1371-1377, 発行日 2006-08 |
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| 旧ID | 15012 | |||||||
