Acta Mathematica Vietnamica
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LYAPUNOV REGULARITY OF LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS OF INDEX 1
NGUYEN DINH CONG, HOANG NAM
Abstract
In this paper, we introduce a concept of Lyapunov regularity of linear differential algebraic equations (DAEs) based on the notion of Lyapunov exponents of DAEs. It was proved that under certain conditions a DAE of index 1 is Lyapunov regular if and only if the corresponding ordinary differential equation is Lyapunov regular.