Fig. 5: Closed loop performance and accuracy with the simplified dynamics. | Nature Communications

Fig. 5: Closed loop performance and accuracy with the simplified dynamics.

From: A blueprint for a synthetic genetic feedback optimizer

Fig. 5

Simulation parameters and further details are provided in Supplementary Section 5. a In the absence of additive noise (dark red and dark green), trajectories are confined within the gray region around the time-varying optimum x* (blue) when ϵy = 0 (Supplementary Section 1.5). In the presence of stochastic noise (light red and light green), closed loop trajectories may temporarily leave this region. The value of ϵd is 10-times greater for (light and dark) green than for (light and dark) red. b Performance decreases as the tracking error in the delay module increases. c Shaded regions correspond to initial conditions such that trajectories converge to an incorrect stable fixed point.

Back to article page