On the criterion of asymptotical stability for index-1 tractable DAEs

Tatyana Shtykel
This paper considers the index-1 tractable differential-algebraic equation. The Lyapunov stability of the trivial solution is discussed. As a criterion of the asymptotical stability we propose a numerical parameter æ(A,B) characterizing the property of the index-1 matrix pencil {A, B} to have all finite eigenvalues within the negative complex half-plane. An algorithm for computing this parameter is described.
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