Control Theory

Differential Equations

, Volume 48, Issue 9, pp 1236-1244

First online:

Optimal boundary control of heat transfer in a one-dimensional material: A hyperbolic model

  • R. K. RomanovskiiAffiliated withOmsk State Technical University
  • , N. G. ChurashevaAffiliated withOmsk State Technical University

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We consider a boundary value problem describing heat propagation in a rod in the framework of a hyperbolic model of heat transfer. We construct a class, depending on a function parameter, of boundary data (controls) ensuring a given rod temperature distribution at a given time; by using the Lagrange method, from this class, we single out a unique control minimizing a given loss function.