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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 2019–2054
DOI: https://doi.org/10.33048/semi.2019.16.145 (Mi semr1186) 		 
Differentical equations, dynamical systems and optimal control

Stability of three-parameter systems of two linear differential equations with delay. Part I

M. V. Mulyukovab

a Perm National Research Polytechnic University, 29, Komsomolskiy ave., Perm, 614990, Russia
b Perm State National Research University, 15, Bukireva str., Perm, 614990, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.145
Abstract: The system of two linear autonomous differential equations with a limited delay and a term without delay is considered. Complete classification of all three-parameter systems is obtained. For every such system the stability criterion in analytic and geometric form is obtained.
Keywords: system of differential equations with delay, autonomous equations, asymptotic stability, stability domain, D-subdivision method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.5336.2017/8.9
Russian Foundation for Basic Research 18-01-00928_а
Received July 12, 2019, published December 26, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K06, 34K20
Language: Russian
Citation: M. V. Mulyukov, “Stability of three-parameter systems of two linear differential equations with delay. Part I”, Sib. Èlektron. Mat. Izv., 16 (2019), 2019–2054
Citation in format AMSBIB
\Bibitem{Mul19}
\by M.~V.~Mulyukov
\paper Stability of three-parameter systems of two linear differential equations with delay. Part~I
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 2019--2054
\mathnet{http://mi.mathnet.ru/semr1186}
\crossref{https://doi.org/10.33048/semi.2019.16.145}
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