Nonlinear analysis for sequestration‑based quasi‑integral controllers

Establish performance and stability results for sequestration‑based quasi‑integral feedback controllers for gene expression at the level of the full nonlinear closed‑loop dynamics, extending beyond results based solely on linearizations.

Background

Initial theoretical results for sequestration‑based quasi‑integral controllers rely on time‑scale separation and linearization, which do not capture the full nonlinear behavior of biomolecular networks.

A nonlinear analysis would provide guarantees that are valid without relying on local linear approximations, which is important for cellular applications where dynamics can be strongly nonlinear.