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Bilaterally flexible Lyapunov inequalities for integral input-to-state stable systems
http://hdl.handle.net/10228/4525
http://hdl.handle.net/10228/4525770f2d5d-7e94-4ee8-8630-a6b5c03bbdf8
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
csse-33.pdf (148.7 kB)
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| アイテムタイプ | テクニカルレポート = Technical Report(1) | |||||||||||||
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| 公開日 | 2010-02-01 | |||||||||||||
| 資源タイプ | ||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_18gh | |||||||||||||
| 資源タイプ | technical report | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | Bilaterally flexible Lyapunov inequalities for integral input-to-state stable systems | |||||||||||||
| 言語 | en | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
| 著者 |
伊藤, 博
× 伊藤, 博
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| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | This paper investigates stability of interconnection of integral input-to-state stable (iISS) systems. A new tool to verify the stability is proposed by focusing on Lyapunov inequalities each system is to satisfy in accordance with a small-gain-type condition. The purpose of this paper is to extend the technique of “flexible Lyapunov inequalities” developed previously for input-to-state stable(ISS) systems. The achievement is threefold. One is the employment of flexibility for both the systems connected with each other. The former technique only allows the flexibility to appear in one of the mutually connected systems. The second accomplishment is to cover iISS systems. The third is unification of the flexibility in Lyapunov inequalities for iISS and ISS systems. Establishment of the stability is based on explicit construction of C1 Lyapunov functions. | |||||||||||||
| 言語 | en | |||||||||||||
| 書誌情報 |
en : Technical Report in Computer Science and Systems Engineering p. 1-19, 発行日 2009-09-24 |
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| 出版社 | ||||||||||||||
| 出版者 | 九州工業大学 | |||||||||||||
| 言語 | ja | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||||
| 収録物識別子 | 1344-8803 | |||||||||||||
| キーワード | ||||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Nonlinear interconnected systems | |||||||||||||
| キーワード | ||||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Integral input-to-state stability | |||||||||||||
| キーワード | ||||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Lyapunov function | |||||||||||||
| キーワード | ||||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Scaled small-gain condition | |||||||||||||
| 出版タイプ | ||||||||||||||
| 出版タイプ | VoR | |||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||
| テクニカルレポートNo. | ||||||||||||||
| CSSE-33 | ||||||||||||||
