Presentation | 2009-11-11 On uniform ultimate boundedness of solutions in time-delayed feedback controlled systems Kohei YAMASUE, Takashi HIKIHARA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | The time-delayed feedback control is a continuous control method for stabilizing unstable periodic orbits embedded in chaotic attractors. As an applicatoin of the Lyapunov-Razumikhin method, we show a class of two dimensional non-autonomous systems whose solutions are uniformly ultimately bounded under the control input. We also numerically discuss the behavior of solutions in the two-well Duffing system controlled by velocity feedback. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | controlling chaos / time-delayed feedback control / Duffing systems / functional differential equations / uniform ultimate boundedness |
Paper # | NLP2009-88 |
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Committee | NLP |
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Conference Date | 2009/11/4(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Nonlinear Problems (NLP) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | On uniform ultimate boundedness of solutions in time-delayed feedback controlled systems |
Sub Title (in English) | |
Keyword(1) | controlling chaos |
Keyword(2) | time-delayed feedback control |
Keyword(3) | Duffing systems |
Keyword(4) | functional differential equations |
Keyword(5) | uniform ultimate boundedness |
1st Author's Name | Kohei YAMASUE |
1st Author's Affiliation | Department of electronic science and engieering, Kyoto University() |
2nd Author's Name | Takashi HIKIHARA |
2nd Author's Affiliation | Department of Electrical Engineering, Kyoto University |
Date | 2009-11-11 |
Paper # | NLP2009-88 |
Volume (vol) | vol.109 |
Number (no) | 269 |
Page | pp.pp.- |
#Pages | 4 |
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