| Presentation | 1998/5/15 Delayed Feedback Control for Continuous Dynamical Systems with Symmetry Hiroyuki NAKAJIMA, Yoshisuke UEDA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Delayed feedback control(DFC)is a practical method of controlling chaos. However, it was proved that the DFC has a limitation: any hyperbolic unstable periodic orbit (UPO) with an odd number of real characteristic multipliers greater than unity can never be stabilized by the DFC. To overcome this limitation, we have proposed a modified DFC, "half-period delayed feedback", utilizing symmetry of Duffing equation. In this report, we extend this method to more general form which can be applied to wide range of systems with symmetries including the Duffing equation. We apply this generalized method to controlling Lorenz attractor and confirm its feasibility by numerical experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaos / delayed feedback / control / symmetry / Lorenz equation |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1998/5/15(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (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) | Delayed Feedback Control for Continuous Dynamical Systems with Symmetry |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | delayed feedback |
| Keyword(3) | control |
| Keyword(4) | symmetry |
| Keyword(5) | Lorenz equation |
| 1st Author's Name | Hiroyuki NAKAJIMA |
| 1st Author's Affiliation | Department of Electronic Engineering and Computer Science, Faculty of Engineering, Kinki University() |
| 2nd Author's Name | Yoshisuke UEDA |
| 2nd Author's Affiliation | Division of Electrical Engineering, Graduate School of Engineering, Kyoto University |
| Date | 1998/5/15 |
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| Volume (vol) | vol.98 |
| Number (no) | 45 |
| Page | pp.pp.- |
| #Pages | 8 |
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