Abstract
An image-based inverted pendulum control system with a large time delay of camera has some analogies with human stick balancing control. Cabrera and his group pointed out that time delays and state-dependent fluctuations play an essential role in neural control mechanism. In this paper, we investigate some properties of the time delays and the fluctuations using our new model which is consistent with the actual inverted pendulum control system. For noise free case, a sufficient condition for the stability of our time-delayed control system is derived.
