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A new design approach for solving linear quadratic Nash games of multiparameter singularly perturbed systems
https://hiroshima.repo.nii.ac.jp/records/2007005
https://hiroshima.repo.nii.ac.jp/records/20070058a2581a9-3134-4db7-b16d-c610d7b22bc1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
IEEETraCir_52_5_960.pdf (435.0 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 new design approach for solving linear quadratic Nash games of multiparameter singularly perturbed 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) 2005 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 | Generalized cross-coupled multiparameter algebraic Riccati equations (GCMARE) | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Linear quadratic Nash games | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Multiparameter singularly perturbed systems (MSPS) | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Newton's method | |||||||
| 主題 | ||||||||
| 主題Scheme | NDC | |||||||
| 主題 | 410 | |||||||
| 内容記述 | ||||||||
| 内容記述 | In this paper, the linear quadratic Nash games for infinite horizon nonstandard multiparameter singularly perturbed systems (MSPS) without the nonsingularity assumption that is needed for the existing result are discussed. The new strategies are obtained by solving the generalized cross-coupled multiparameter algebraic Riccati equations (GCMARE). Firstly, the asymptotic expansions for the GCMARE are newly established. The main result in this paper is that the proposed algorithm which is based on the Newton's method for solving the GCMARE guarantees the quadratic convergence. In fact, the simulation results show that the proposed algorithm succeed in improving the convergence rate dramatically compared with the previous results. It is also shown that the resulting controller achieves O(∥μ∥2n) approximation of the optimal cost. | |||||||
| 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/TCSI.2005.846668 | |||||||
| 関連情報 | ||||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | http://dx.doi.org/10.1109/TCSI.2005.846668 | |||||||
| 収録物識別子 | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 1057-7122 | |||||||
| 収録物識別子 | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA11893184 | |||||||
| 開始ページ | ||||||||
| 開始ページ | 960 | |||||||
| 書誌情報 |
IEEE Transactions on Circuits and Systems I: Regular Papers IEEE Transactions on Circuits and Systems I: Regular Papers 巻 52, 号 5, p. 960-974, 発行日 2005-05 |
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| 旧ID | 15014 | |||||||
