Presentation 2006-07-04
Dynamical Singularities in Adaptive Delayed-Feedback Control Systems
Asaki SAITO, Keiji KONISHI,
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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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Conference Information
Committee NLP
Conference Date 2006/6/27(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
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