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Eurasian Journal of Mathematical and Computer Applications, 2019, Volume 7, Issue 3, Pages 56–69
DOI: https://doi.org/10.32523/2306-6172-2019-7-3-56-69 (Mi ejmca137) 		 
Some approaches to a quantitative measure of the stability of dynamical systems

A. S. Kutsenko, S. V. Kovalenko

National Technical University "Kharkiv Polytechnic Institute", Department of System Analysis and Information and Analytical Technologies Ukraine, 61002, Kharkiv, Kyrpychova str., 2
Full-text PDF (546 kB)
DOI: https://doi.org/10.32523/2306-6172-2019-7-3-56-69
Abstract: 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
Keywords: dynamic system, stability, technical stability, integral quadratic functional, Lyapunov matrix equation.
Bibliographic databases:
Document Type: Article
MSC: 93A30, 93D05.
Language: English
Citation: A. S. Kutsenko, S. V. Kovalenko, “Some approaches to a quantitative measure of the stability of dynamical systems”, Eurasian Journal of Mathematical and Computer Applications, 7:3 (2019), 56–69
Citation in format AMSBIB
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\by A.~S.~Kutsenko, S.~V.~Kovalenko
\paper Some approaches to a quantitative measure of the stability of dynamical systems
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 3
\pages 56--69
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\crossref{https://doi.org/10.32523/2306-6172-2019-7-3-56-69}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075229887}
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