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Small-Gain Conditions for iISS Systems: Some Proofs of Sufficiency and Necessity
http://hdl.handle.net/10228/4701
http://hdl.handle.net/10228/4701ee276cc5-ddfc-4e9e-af55-e79156c81da4
| 名前 / ファイル | ライセンス | アクション |
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csse-30.pdf (167.4 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 | 2010-11-10 | |||||||||||||
| 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 | Small-Gain Conditions for iISS Systems: Some Proofs of Sufficiency and Necessity | |||||||||||||
| 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 technical report addresses necessary conditions and sufficient conditions for stability of interconnection of nonlinear systems with external inputs. Integralinput-to-state stable (iISS) systems and input-to-state stable (ISS) systems are treated in a unified manner using a Lyapunov formulation. The purpose of this technical report is to provide proofs of the following properties. One property this report proves is that, for the stability of the interconnected system in the presence of model uncertainty, at least one subsystem is necessarily ISS which is a stronger stability property in the set of iISS. Fulfillment of a small-gain-type property is also proved to be necessary. Finally, this report derives a common form of smooth Lyapunov functions which can establish the iISS and the ISS of the interconnection comprising iISS and ISS subsystems whenever the small-gain-type condition is satisfied. Instead of explaining implications of the properties, this technical report focuses on presenting their proofs. | |||||||||||||
| 言語 | en | |||||||||||||
| 書誌情報 |
en : Technical Report in Computer Science and Systems Engineering 発行日 2009-03-11 |
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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 system | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | Stability criteria | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | Integral input-to-statestability | |||||||||||||
| キーワード | ||||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Input-to-state stability | |||||||||||||
| キーワード | ||||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Global asymptotic 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 | Dissipative system | |||||||||||||
| 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-30 | ||||||||||||||
