Optimisation of quality criterion for nonlilear systems
"Математика. Компьютер. Образование". Cб. трудов X международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2003. Vol. 2. Pp. 103-111.
The problem of searching of optimum control function in conditions of indeterminacy for systems with an unknown kind of general solution is considered. It is supposed, that one particular solution of system at some value of control is known. The research is being carried out on narrowing original sets of admissible control functions and initial data. For boundary points of chosen narrowing of set of admissible controls the necessary and sufficient conditions of optimality are formulated. The similar problem is studied in works [2, 3] for linear systems. As against works [1, 3] in this article the methods of the convex analysis is not used.