| Presentation | 2006-07-03 Nonlinear Small-Gain Condition and State-Dependent Scaling Problem for Stability of Nonlinear Interconnected Systems Hiroshi ITO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper is devoted to the illustration of the basic philosophy and the effectiveness of the iISS-ISS small-gain theorem which has been developed by the author recently. The iISS-ISS small-gain theorem is a theoretical tool for establishing stability of nonlinear interconnected systems. By presenting a primitive example whose stability properties can be easily estimated intuitively, this paper explains how the traditional stability tools fail and how efficiently the iISS-ISS small-gain theorem answers the question of stability successfully. It is also demonstrated that the iISS-ISS small-gain theorem is a special case of the framework of state-dependent scaling problems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Nonlinear interconnected systems / Integral input-to-state stability / Small gain condition / Dissipation |
| Paper # | NLP2006-26 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2006/6/26(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Nonlinear Small-Gain Condition and State-Dependent Scaling Problem for Stability of Nonlinear Interconnected Systems |
| Sub Title (in English) | |
| Keyword(1) | Nonlinear interconnected systems |
| Keyword(2) | Integral input-to-state stability |
| Keyword(3) | Small gain condition |
| Keyword(4) | Dissipation |
| 1st Author's Name | Hiroshi ITO |
| 1st Author's Affiliation | Department of Systems Innovation and Informatics, Kyushu Institute of Technology() |
| Date | 2006-07-03 |
| Paper # | NLP2006-26 |
| Volume (vol) | vol.106 |
| Number (no) | 135 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |