Robustness of Networked Systems to Unintended Interactions With Application to Engineered Genetic Circuits

A networked dynamical system is composed of subsystems interconnected via prescribed interactions. In many engineering applications, however, one subsystem can also affect others “unintended” interactions that significantly change the intended network's behavior. Although unintended be modeled as disturbance inputs to subsystems, these disturbances depend on states. Thus, a attenuation property each insufficient ensure network robust Here, we provide conditions dynamics and interaction maps, such These require asymptotically attenuates constant external disturbances, monotone or “near-monotone,” are monotone, do not contain feedback loops. We apply this result guide design resource-limited genetic circuits feedback-regulated subsystems.