Abstract:
We consider stability for linear systems of differential equations with real constant coefficients whose matrices are off-diagonal non-negative. The results are applied to arbitrary linear systems of differential equations with complex constant coefficients.
Keywords:
stability by Lyapunov, linear systems of differential equations with constant coefficients, non-negative and off-diagonal non-negative matrices.
Citation:
A. I. Perov, “New features of stability of linear systems of differential equations with constant coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 49–58; Russian Math. (Iz. VUZ), 58:9 (2014), 41–48
\Bibitem{Per14}
\by A.~I.~Perov
\paper New features of stability of linear systems of differential equations with constant coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 49--58
\mathnet{http://mi.mathnet.ru/ivm8929}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 41--48
\crossref{https://doi.org/10.3103/S1066369X14090059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906226461}
Linking options:
https://www.mathnet.ru/eng/ivm8929
https://www.mathnet.ru/eng/ivm/y2014/i9/p49
This publication is cited in the following 3 articles:
S.I. Tolmachev, A.S. Artemyeva, V.E. Karev, D.S. Kadochnikov, A.S. Kataev, Yu.A. Khrustaleva, V.A. Fetisov, “Challenges of expert assessment of injury to health in the case of iatrogenic mastectomy due to erroneous histological verification of an oncological condition”, Sud.-med. ekspert., 65:5 (2022), 52
D. V. Glazkov, “Lokalnyi asimptoticheskii analiz modelei optiko-elektronnykh sistem s zapazdyvaniem”, Materialy Voronezhskoi vesennei matematicheskoi shkoly
«Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 190, VINITI RAN, M., 2021, 57–80
A. I. Perov, I. D. Kostrub, O. I. Kleshchina, E. E. Dikarev, “Absolute logarithmic norm”, Russian Math. (Iz. VUZ), 62:4 (2018), 60–73
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