Страница публикации

Dynamical systems with states of bounded p-variation: A new trend in impulsive control

Авторы: Goncharova E., Samsonyuk O., Staritsyn M.

Журнал: Cybernetics and Physics

Том: 6

Номер: 4

Год: 2017

Отчётный год: 2017

Издательство:

Местоположение издательства:

URL:

Аннотация: “Rough” differential equations form a class of control-affine dynamical systems driven by input signals of a low regularity, namely, paths of bounded p-variation (BV_p ), p > 1. In this paper, we address impulsive rough control systems, i.e., rough differential equations driven by discontinuous BV_p -controls. The main results are: the existence of a unique state solution under a discontinuous rough input, and a constructive representation of the system’s states. The representation is performed by a discrete-continuous equation involving a Young integral and the sum of jumps of a trajectory, defined by an auxiliary ordinary differential equation.

Индексируется WOS: 0

Индексируется Scopus: 1

Индексируется РИНЦ: 1

Публикация в печати: 0

Добавил в систему: