Stability Criterion for Systems of Two First-Order Linear Ordinary Differential Equations

Stability Criterion for Systems of Two First-Order Linear Ordinary Differential Equations

The method of Riccati’s equation is applied to find a stability criterion for systems of two first-order linear ordinary differential equations. The obtained result is compared for a particular example with results obtained by the Lyapunov and Bogdanov methods, by using estimates of solutions of sys...

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Veröffentlicht in:Mathematical Notes 2018-05, Vol.103 (5-6), p.892-900
1. Verfasser: Grigoryan, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Norms
Ordinary differential equations
Stability criteria
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Zusammenfassung:The method of Riccati’s equation is applied to find a stability criterion for systems of two first-order linear ordinary differential equations. The obtained result is compared for a particular example with results obtained by the Lyapunov and Bogdanov methods, by using estimates of solutions of systems in terms of the Losinskii logarithmic norms, and by the freezing method.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434618050255