  The presence of a delay between sensing and reacting to a signal can
determine the long-term behavior of autonomous agents whose motion is
intrinsically noisy. In a previous work [M. Mijalkov, A. McDaniel, J. Wehr, and
G. Volpe, Phys. Rev. X 6, 011008 (2016)], we have shown that sensorial delay
can alter the drift and the position probability distribution of an autonomous
agent whose speed depends on the illumination intensity it measures. Here,
using theory, simulations, and experiments with a phototactic robot, we
generalize this effect to an agent for which both speed and rotational
diffusion depend on the illumination intensity and are subject to two
independent sensorial delays. We show that both the drift and the probability
distribution are influenced by the presence of these sensorial delays. In
particular, the radial drift may have positive as well as negative sign, and
the position probability distribution peaks in different regions depending on
the delay. Furthermore, the presence of multiple sensorial delays permits us to
explore the role of the interaction between them.
