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State-Dependent Scaling Characterization for Interconnected Nonlinear Systems–Part I : Constructive Generalization of Stability Criteria
http://hdl.handle.net/10228/4700
http://hdl.handle.net/10228/47006350f825-df36-434a-ba52-d8c58ebdc2d0
| 名前 / ファイル | ライセンス | アクション |
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csse-20.pdf (415.0 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 | State-Dependent Scaling Characterization for Interconnected Nonlinear Systems–Part I : Constructive Generalization of Stability Criteria | |||||||||||||
| 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 is concerned with the problem of global stability and performance of nonlinear interconnected systems. The state-dependent scaling problem is proposedas a unified mathematical formulation whose solutions explicitly provide Lyapunov functions proving stability and dissipative properties of feedback and cascade systems. The framework covers nonlinear systems having diverse and strong nonlinearities represented by general supply rates. Previously existing stability theorems such as the L2 small-gain theorem, the passivity theorems, the circle and Popov criteria and the input-to-state stable(ISS) small-gain theorem are extracted from the framework as special elementary cases. Indeed, those existing stability criteria are sufficient conditions for the existence of solutions to the state-dependent scaling problems, and the solutions can be shown explicitly. A notable benefit of the proposed formulation is that it actually yields useful answers for systems disagreeing with classical and ISS nonlinearities, which is much more than formal applicability. The paper focuses on generalization and unification, while the follow-up paper puts a special emphasis on theoretical demonstration of the effectiveness of the state-dependent scaling characterization. | |||||||||||||
| 言語 | en | |||||||||||||
| 書誌情報 |
en : Technical Report in Computer Science and Systems Engineering 発行日 2004-06-18 |
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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 | Global asymptotic stability | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | Lyapunov function | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | Stability criteria | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | Dissipative system | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | Supply rates | |||||||||||||
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| 主題Scheme | Other | |||||||||||||
| 主題 | State-dependent scaling | |||||||||||||
| 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-20 | ||||||||||||||
