Transient Chaos and Intermittency in Delayed Feedback Controlled Piecewise-Linear Discrete-Time Systems

摘要

Delayed feedback control is based on the difference between a past state and the current one, and can stabilize an unstable periodic orbit without its precise calculation. It is known that the delayed feedback control has a limitation called the odd number limitation for stabilization, and many studies have been done to overcome the limitation. However, its global properties of controlled systems have not been paid much attention to. Recently, Yamasue and Hikihara analyzed a domain of attraction in a delayed feedback controlled Duffing equation. In this report, we investigate global properties of a one-dimensional piecewise-linear discrete-time system. Moreover, we show by simulation that both transient chaos and intermittency occur by delayed feedback control.