WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 14, 2019
On the Controllability Problem with Pointwise Observation for the Parabolic Equation with Free Convection Term
Authors: ,
Abstract: A mathematical model of the temperature control in industrial greenhouse is based on a one-dimensional parabolic equation with a free convection term and a quadratic cost functional with the point observation. The existence and uniqueness of a control function from some convex set of functions are proved and the structure of the set of accessible temperature functions is studied. We also prove the dense controllability of the problem for some set of control functions.