Regional Boundary Gradient Closed Loop Control System and Γ*AGFO-Observer

The main objective of this paper is to study the problem of regional boundary asymptotic gradient full order observer (Γ*AGFO-observer) in link with the structures of sensors and actuators. Important results have been obtained related to diverse kinds of measurements and controls, of domains and boundary conditions. It has been shown that the structures of measurements and feedback controls allow the existence of Γ*AGFO-observer in order to achieve regional boundary gradient closed loop control system (Γ*AGFO-system). It has also been found that there is a dynamical system which does not represent the observer in the usual sense, but it could be interpreted as a regional observer.