V. I. Tsurkov ,   A. P. Parkhutik Sov. J. Comput. Syst. Sci. , vol.24 No.2 , 01.1986 , p. 60-64, language: английский ISSN 0882-4002  Аннотация Two-level statements of optimal control problems in which subsystems are described by classical parabolic partial differential equations are considered. The functionals are not block-separable. When the number of subsystems is large, the dimensionality is lowered, after the application of Fourier's method and Pontryagin's maximum principle, by taking into account the specific nature of the obtained systems of linear algebraic equations or by an iterative decomposition algorithm.  Ключевые слова parabolic partial differential equations; Fourier's method; Pontryagin's maximum principle; decomposition algorithm