Presentation | 2006-07-04 Dynamical Singularities in Adaptive Delayed-Feedback Control Systems Asaki SAITO, Keiji KONISHI, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Dynamics of adaptive delayed-feedback control systems is shown to be 'neutral', in the senses that finite-time Lyapunov exponent is almost 0 and that transient time distribution decays with a power law. By means of linear stability analysis and numerical simulations using the Henon map, we show that the result is well explained by the following two characteristics of the adaptive control systems. They are (1) that the Jacobian matrix of the adaptive control systems has the eigenvalue, unity, at all points in phase space, and (2) that system parameters approach to a stability boundary which is shown to be identical with that of (non-adaptive) delayed-feedback control. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Adaptive Control / Delayed-Feedback Control / Neutral Stability / Power Law / Chaos |
Paper # | NLP2006-43 |
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Committee | NLP |
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Conference Date | 2006/6/27(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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Paper Information | |
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) | Dynamical Singularities in Adaptive Delayed-Feedback Control Systems |
Sub Title (in English) | |
Keyword(1) | Adaptive Control |
Keyword(2) | Delayed-Feedback Control |
Keyword(3) | Neutral Stability |
Keyword(4) | Power Law |
Keyword(5) | Chaos |
1st Author's Name | Asaki SAITO |
1st Author's Affiliation | Future University-Hakodate() |
2nd Author's Name | Keiji KONISHI |
2nd Author's Affiliation | Osaka Prefecture University |
Date | 2006-07-04 |
Paper # | NLP2006-43 |
Volume (vol) | vol.106 |
Number (no) | 136 |
Page | pp.pp.- |
#Pages | 4 |
Date of Issue |