Страница публикации

Optimality conditions for optimal impulsive control problems with multipoint state constraints

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Samsonyuk O.N.

Журнал: Journal of Global Optimization

Язык публикации: english

Том: 76

Номера страниц: 625-644

Количество страниц: 20

Номер: 3

Год публикации: 2020

Отчетный год: 2020

DOI: 10.1007/s10898-019-00868-w

Аннотация: This paper addresses an optimal impulsive control problem whose trajectories are functions of bounded variation and impulsive controls are regular vector measures. This problem is characterized by two main features. First, the dynamical control system to be considered may not possess the so-called well-posedness property. Second, the constraints on the one-sided limits of states are presented. Such constraints are interpreted as multipoint state constraints. For this problem, we derive global optimality conditions based on using of compound Lyapunov type functions which possess strongly monotone properties with respect to the control system. As a motivating case, a model of advertising expenses optimization for mutually complementary products is considered. For this model, we propose four variants of resolving sets of Lyapunov type functions and explain the technique of applying the optimality conditions.

Индексируется WOS: Q1

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет