Boundary Control of Temperature Distributions in a Parallelepipedon
Hector O. Fattorini · SIAM Journal on Control · 1975
Let $u_o $ be the temperature distribution of a homogeneous parallelepipedon at time $t = 0$. We study the problem of regulating the boundary temperature of the parallelepipedon in such a way that the temperature distribution at time $t = T$ coincides with a function fixed in advance. The problem is shown to have a solution under some restrictions on the final temperature distribution.