On State and Output Stabilization of Linear Parabolic Systems

Abstract

In feedback stabilization studies, a control scheme is designed so that the "state" of the system decays with a designated rate as t → ∞. Thus the "output", which is subordinate to the state, also decays at least with the same rate. We study in the paper a class of linear parabolic systems, and construct a specific control scheme such that the output decays faster than the state.