Автор(ы): Агаджанов А. Н. (ИПУ РАН, Лаборатория 40)Автор(ов): 1 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Fractal Functions with Continuous Weil-Type Derivatives of Variable Order in Control of Distributed SystemsISBN/ISSN: ISSN 1064-5624DOI: 10.1134/S1064562417020016Наименование источника: Doklady MathematicsОбозначение и номер тома: Т. 95 №2Город: МоскваИздательство: Pleiades Publishing, LtdГод издания: 2017Страницы: 109 -112 АннотацияProperties of fractal functions which are not differentiable in the classical sense but have continuous Weil-type derivatives of variable order at each point are studied. It is shown that the Weierstrass, Takagi, and Besicovitch classical fractal functions have such derivatives. An example of an oscillatory system controlling which requires constructing a fractal control function having a Weil-type derivative of variable order at each point is considered. Библиографическая ссылка: Агаджанов А.Н. Fractal Functions with Continuous Weil-Type Derivatives of Variable Order in Control of Distributed Systems / Doklady Mathematics. М.: Pleiades Publishing, Ltd, 2017. Т. 95 №2. С. 109 -112.