Stability radii of differential algebraic equations with structured perturbations |
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Authors: | Nguyen Huu Du |
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Affiliation: | aFaculty of Mathematics, Informatics and Mechanics, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam |
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Abstract: | This paper deals with a formula for computing stability radii of a differential algebraic equation of the form AX′(t)−BX(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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Keywords: | Differential algebraic equation Index of the pencil of matrices Stability radii |
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