A Model of Overpowering a Multilevel Defense System by Attackстатья
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Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 8 февраля 2017 г.
Авторы:
Reshetov V.Yu ,
Perevozchikov A.G. ,
Lesik I.A.
Журнал:
Computational Mathematics and Modeling
Том:
27
Номер:
2
Год издания:
2016
Издательство:
Consultants Bureau
Местоположение издательства:
United States
Первая страница:
254
Последняя страница:
269
DOI:
10.1007/s10598-016-9319-0
Аннотация:
We consider a multilevel defense system on a given direction. This is a particular model of terminal discrete optimal control that may be solved by the gradient descent method. The main difficulty is the nondifferentiability of the Lipschitzian functions in the right-hand sides of the equation of motion and their derivatives with respect to all variables, which leads to an ill-posed problem when applying the classical results on differentiability of the terminal function and constructing its gradient from the conjugate system. A method is proposed for the solution of the problem by averaging the right-hand sides in combination with the stochastic gradient projection method. The study develops Germeier’s defense-attack model by allowing for a multilevel defense structure, which in general leads to the synthesis problem for a discrete optimal control system. © 2016, Springer Science+Business Media New York.
Добавил в систему:
Решетов Валерий Юрьевич