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 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.
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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
Conference Date 2009/11/4(1days)
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Registration To Nonlinear Problems (NLP)
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
Date of Issue