SYNTHESIS OF OPTIMAL BOUNDARY CONTROL WHEN MINIMIZING OF THERMAL PROCESSES
DOI:
https://doi.org/10.52754/16948645_2024_2(5)_18Keywords:
Boundary value problem, generalized solution, functional, Bellman-Egorov scheme, Bellman-type integro-differential equation, synthesis of boundary controlAbstract
The paper studies the solvability of the optimal boundary control synthesis problem in the optimization of thermal processes described by partial integro-differential equations. The case when the function of the boundary action depends nonlinearly on the control function is considered. An algorithm for constructing a synthesizing optimal control has been developed. The structure of the solution to a nonlinear integro-differential equation of Bellman type is determined.
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