On the stability of systems of two linear first-order ordinary differential equations

2020/06/04 by Grigorian, G. A.
#34D20 #Classical Analysis and ODEs (math.CA) #F.2.2 #FOS: Mathematics #I.2.7

paper · doi:10.48550/arxiv.2006.02661

Abstract

The Riccati equation method is used to establish some new stability criteria for systems of two linear first-order ordinary differential equations. It is shown that two of these criteria in the two dimensional case imply the Routh - Hurwitz's criterion.

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