Koryashkina L. Methods of optimal partitioning of sets in the control by distributed systems

Plant of a research - problems of optimal control by parabolic system, in which the control function (s determined by partitioning of some plane set into disjoint subsets . The purpose of work - development of methods and algorithms of their solution. The researches were carried out with application of the theory and methods of optimal set partitioning, mathematical physics and theory of control by d(stributed systems. The solutions of the optimal control problems with linear and quadratic functionals are obtained in an explicit form. A method that similar to the method of sequential linearization of R.P. Fedorenko is developed for solving of the control problem with non-differentiative performanse criterion.The spheres of use are economics (planning), technique (the control by processes of diffusion and heat conductivity).