Страница публикации

Impulsive Relaxation of Continuity Equations and Modeling of Colliding Ensembles

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Staritsyn M., Pogodaev N.

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

Язык публикации: english

Серия книг: Communications in Computer and Information Science

Том: 974

Номера страниц: 367-381

Количество страниц: 15

Год публикации: 2019

Отчетный год: 2019

DOI: 10.1007/978-3-030-10934-9_26

Аннотация: The paper promotes a relatively novel class of multi-agent control systems named “impulsive” continuity equations. Systems of this sort, describing the dynamics of probabilistically distributed “crowd” of homotypic individuals, are intensively studied in the case when the driving vector field is bounded and sufficiently regular. We, instead, consider the case when the vector field is unbounded, namely, affine in a control parameter, which is only integrally constrained. This means that the “crowd” can be influenced by “shock” impacts, i.e., actions of small duration but very high intensity. For such control continuity equations, we design an impulsive relaxation by closing the set of solutions in a suitable coarse topology. The main result presents a constructive form of the relaxed system. A connection of the obtained results to problems of contact dynamics is also discussed along with applications to optimal ensemble control and other promising issues.

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет