title: ÐÐ±ÑÐ°ÑÐ½Ð°Ñ Ð·Ð°Ð´Ð°ÑÐ° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¿ÑÐ¸ Ð¼Ð°Ð»ÑÑ Ð²Ð¾Ð·Ð¼ÑÑÐµÐ½Ð¸ÑÑ ÐµÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð²: Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¸ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð°ÑÐ¿ÐµÐºÑÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The inverse problem for small perturbations of dynamical systems: Analytical and computational aspects
Creators: name: ÐÑ ÐÐ°Ð½ Ð¥Ð°Ð½Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÐÐ¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ
Ð·Ð½Ð°ÐºÐ¾Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð½Ð¾ÑÑÐ¸ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð¾Ð¿ÐµÑÐ°ÑÐ¾ÑÐ°
Ð¾Ð±ÑÐ°ÑÐ½Ð°Ñ Ð·Ð°Ð´Ð°ÑÐ° ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸
ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼
determine signs of eigenvalues operators
the inverse problem of stability
stability of dynamic systems

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description: The subject of the final qualifying work: The inverse problem for small perturbations of dynamical systems: Analytical and computational aspects. In the study, the formulation and development of analytical and numerical methods for solving some inverse problems for small perturbations of dynamical systems. The objectives were accomplished: 1. Research on the stability of the dynamics with parameters under small perturbations. 2. Research on the Rellich â Kato â Sun perturbation theory. 3. Determined the dependence of eigenvalues operators on the perturbing parameters. 4. Developed a numerical method for solving the inverse stability problem of a dynamic system under small perturbations. As a result of this study, a mathematical algorithm was constructed to calculate the ranges of small perturbations of the operator parameters in the dynamic system; the algorithm is implemented in the environment of the MatLab package; An example of numerical implementation of the proposed method is presented. The results of the work facilitate to determine the permissible range of perturbation parameter changes in order to maintain the stability of the dynamic system. This permits to manage the dynamic systems working stably.