POLYNOMIAL SOLUTIONS IN PROBLEMS
OF CONTROLLING THE HEATING OF SOLIDS
I. B. Sorogovets , E. I. Goncharov , and
V. B. Artem'ev

UDC 518:519,3:62-50

We consider an approximate method of solving the problem 
of optimum control of the process that is described by a homogeneous 
heat-conduction equation. The governing parameter enters the boundary 
condition, while the integral quadratic expression is subjected to 
minimization. A solution of the problem is found for a class of controls 
described by a polynomial of finite degree. An example is considered.

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