Optimal two-sided boundary control of heat transmission in a rod. Hyperbolic model
Рэм Константинович Романовский, Yu. A. Medvedev · Russian Mathematics · 2016
We consider the mixed problem for one-dimensional hyperbolic system of thermal conductivity equations. We construct a class of boundary controls that provide given distribution on phase vector ( T, q ) in a given moment of time. From this class we choose a control by the Lagrange method that minimizes a square functional of loss.