Sharif Digital Repository

Adaptation is a recurring phenomenon in biology by which biochemical systems can robustly- and in some cases completely- adapt their regulated outputs to en- vironmental disturbances and uncertainties. In nature, such a feature has been evolved in biological circuits through the construction of integral feedback control structures. Three types of biologically plausible controllers have been recently in- troduced which can ensure the existence of robust perfect adaptation for arbitrary plants. In this thesis, the main purpose is to have a comparison between them. To this end, we first find a stability criterion to relate the system’s stability with its internal parameters. We then calculate a...