Some approaches to a quantitative measure of the stability of dynamical systems

dc.contributor.authorKutsenko, Alexanderen
dc.contributor.authorKovalenko, Sergeyen
dc.date.accessioned2022-11-05T15:25:02Z
dc.date.available2022-11-05T15:25:02Z
dc.date.issued2019
dc.description.abstractThe 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 systemen
dc.identifier.citationKutsenko 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.en
dc.identifier.orcidhttps://orcid.org/0000-0001-6059-3694
dc.identifier.orcidhttps://orcid.org/0000-0001-6770-6778
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/58979
dc.language.isoen
dc.publisherL. N.Gumilyov Eurasian National Universityen
dc.subjectdynamic systemen
dc.subjectstabilityen
dc.subjectintegral quadratic functionalen
dc.subjectLyapunov matrix equationen
dc.subjecttechnical stabilityen
dc.subjectстійкістьuk
dc.subjectтехнічна стійкістьuk
dc.subjectінтегральний квадратичний функціоналuk
dc.subjectматричне рівняння Ляпуноваuk
dc.subjectдинамічні системиuk
dc.titleSome approaches to a quantitative measure of the stability of dynamical systemsen
dc.typeArticleen

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