Proceedings of the Annual Conference of the Institute of Systems, Control and Information Engineers
The 47th Annual Conference of the Institute of Systems, Control and Information Engineers
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A Study on Domain of Attraction in Function Space under A Time Delay System
Time Delayed Feedback Control of Duffing System
Kohei Yamasue, Takashi Hikihara
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Keywords: time delayed feedback control, controlling chaos, delay differential equation, function space, domain of attraction
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Pages 1027

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Abstract
Time delayed feedback control is one of practical methods for stabilizing unstable periodic orbits embedded in chaotic attractors. This control method has an open problem of estimating domain of attraction towards stabilized orbits in function space. In this paper, domain of attraction in two types of Duffing system under the control method is numerically discussed. The disturbance to initial conditions towards stabilized orbits shows the domain of attraction possibly has self-similar structures in their boundaries.
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© 2003 The Institute of Systems, Control and Information Engineers
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