Simulation of optimal control of distributed systems with a moving source of exposure

The problem of optimal control of a distributed system with a moving thermal source of action is solved. This approach is realized for the process of alloying quartz optical fibers in two-dimensional and one-dimensional formulations. The control problem is solved using variational approaches and convex analysis. As a result of the solution, optimality conditions are obtained in the form of systems of partial differential equations. Numerical studies have been carried out, and management functions have been obtained. Thus, a method for managing a distributed system with a moving source of influence has been proposed and implemented.