title: ÐÐ¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð°Ñ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐ¸ÑÑÐ¾Ð²ÑÑ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼
title: Optimal stabilization of digital transport systems
Creators: name: ÐÐ¾Ð·Ð»Ð¾Ð², ÐÐ»Ð°Ð´Ð¸Ð¼Ð¸Ñ
name: ÐÑÑÐµÐ¼Ð¾Ð², ÐÑÑÐµÐ¼
name: "Ð¡Ð¸ÑÑÐµÐ¼Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð² Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (26; 2022; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2023
Subjects: ÐÐ¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ
Ð¿ÑÐ¾ÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¾Ð¿ÐµÑÐ°ÑÐ¾ÑÑ
ÑÐ°Ð·Ð½Ð¾ÑÑÐ½ÑÐµ Ð¾Ð¿ÐµÑÐ°ÑÐ¾ÑÑ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼
Ð¿ÑÐ¾ÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¾Ð¿ÐµÑÐ°ÑÐ¾ÑÑ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÐµ ÑÐ¸ÑÑÐµÐ¼Ñ
projection operators
difference operators of dynamic systems
projection optimization operators
transport systems

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description: The paper considers the issues of optimal stabilization of locally optimal systems for controlling nonlinear objects. For the synthesis and qualitative analysis of complex control systems, projection-operator quasi-analytical methods are proposed for solving problems of conditional minimization of linear and quadratic functionals at the intersection of a linear manifold and an ellipsoid (ball). At the same time, linear manifolds allow the use of linearized or nonlinear models that take into account the operators of typical nonlinearities of dynamic objects. Constraints-inequalities in projection optimization operators are taken into account using ellipsoids or balls approximating interval constraints on coordinates and controls. These classes of projection operators allow us to formulate appropriate feedback controls on the states or outputs of dynamic objects.