Robust Stability Analysis of the Heat Shock Response in E. Coli

摘要

We establish robust stability results for the bacterial heat stress response by using a reduced-order model with different time-scales under parameter perturbations and determine conditions that ensure the existence of asymptotically stable equilibria of the perturbed system. It is assumed that the system uncertainties are limited by the upper bounds of their norms. We derive a Lyapunov function for the coupled system and a maximal upper bound for the fast time scale associated with the unfolded proteins state.