Stability radii of differential algebraic equations with structured perturbations

 This paper deals with a formula for computing stability radii of a differential algebraic equation of the form A X 0 (t ) − B X (t ) = 0, where A, B are constant matrices. A computable formula for the complex stability radius is given and a key difference between the ordinary differential equation (ODEs for short) and the differential algebraic equation (DAEs for short) is pointed out. A special case where the real stability radius and the complex one are equal is considered.

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