Автор(ы): Юрченков А. В. (ИПУ РАН, Лаборатория 01)Автор(ов): 1 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Lemma on Boundedness of Anisotropic Norm for Systems with Multiplicative Noises under a Noncentered DisturbanceISBN/ISSN: 1608-3032DOI: 10.1134/S0005117921010033Наименование источника: Automation and Remote ControlОбозначение и номер тома: Vol. 82, № 1Город: Род-ТаунИздательство: Pleiades Publishing, Ltd.Год издания: 2021Страницы: 51-62 АннотацияWe consider a linear discrete time-varying system with multiplicative noise acted upon by colored exogenous disturbance with nonzero first moment. Multiplicative noises are modeled in the form of linear combinations of deterministic matrices with pairwise independent random coefficients. For this system, we describe a method, based on a state-space realization, for calculating the anisotropic norm in terms of Riccati equations. Библиографическая ссылка: Юрченков А.В. Lemma on Boundedness of Anisotropic Norm for Systems with Multiplicative Noises under a Noncentered Disturbance // Automation and Remote Control. 2021. Vol. 82, № 1. С. 51-62.