ОПТИМАЛЬНОЕ УПРАВЛЕНИЕ СИСТЕМОЙ, ОПИСЫВАЕМОЙ ДВУМЕРНЫМ УРАВНЕНИЕМ ЧЕТВЕРТОГО ПОРЯДКА С УСЛОВИЯМИ СОПРЯЖЕНИЯ

摘要

The paper considers new problems of optimal control of distributed systems described by partial-differential fourth-order two-dimensional equations with conjugation conditions and quadratic cost functions. The theorems about existence of unique optimal solutions are proved for every considered case.