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The space-time representation for optimal impulsive control problems with hysteresis

Авторы: Samsonyuk O.N.

Журнал: Communications in Computer and Information Science: Proc. of the 9th Intern. Conf. on Optimization and Applications (OPTIMA’2018)

Том: 974

Номер:

Год: 2019

Отчётный год: 2019

Издательство:

Местоположение издательства:

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Проекты:

DOI: 10.1007/978-3-030-10934-9_25

Аннотация: An optimal control problem for a sweeping process driven by impulsive controls is considered. The control system we study is described by both a measure-driven differential equation and a differential inclusion. This system is the impulsive-trajectory relaxation of an ordinary control system with nonlinearity of hysteresis type, in which the hysteresis is modeled by the play operator and considered as a particular case of a nonconvex sweeping process. The concept of a sweeping process for the so-called graph completions of functions of bounded variation, defining the corresponding moving set, is developed. The space-time representation based on the singular space-time transformation and a method to obtain optimality conditions for impulsive processes are proposed. By way of motivation, an example from mathematical economics is considered.

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет

Публикация в печати: 0