Some approaches to a quantitative measure of the stability of dynamical systems
Дата
2019
DOI
item.page.thesis.degree.name
item.page.thesis.degree.level
item.page.thesis.degree.discipline
item.page.thesis.degree.department
item.page.thesis.degree.grantor
item.page.thesis.degree.advisor
item.page.thesis.degree.committeeMember
Назва журналу
Номер ISSN
Назва тому
Видавець
L. N.Gumilyov Eurasian National University
Анотація
The article analyses the state of the problem of the quantitative measure of the stability of dynamic systems. Two approaches to solve this problem are proposed. The first approach is based on the study of the deformation process of an arbitrary region of the phase space on the solutions of systems of differential equations. The second method is based on a multiple assessment of the integral quadratic functionals of the trajectories of a stable dynamical system
Опис
Ключові слова
dynamic system, stability, integral quadratic functional, Lyapunov matrix equation, technical stability, стійкість, технічна стійкість, інтегральний квадратичний функціонал, матричне рівняння Ляпунова, динамічні системи
Бібліографічний опис
Kutsenko A.S. Some approaches to a quantitative measure of the stability of dynamical systems / Kutsenko A. S., Kovalenko S. V. // Eurasian journal of mathematical and computer applications. – 2019. – Vol. 7, Iss. 3. – P. 56–69.