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The Matrix Exponential

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Damped Oscillations of Linear Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2023))

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Abstract

The matrix exponential, its properties and computation play a vital role in a study of damped systems. We here derive some general properties, and then touch a central concern of oscillations: the exponential decay which is crucial in establishing stability of vibrating structures.

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Correspondence to Krešimir Veselić .

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© 2011 Springer-Verlag Berlin Heidelberg

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Veselić, K. (2011). The Matrix Exponential. In: Damped Oscillations of Linear Systems. Lecture Notes in Mathematics(), vol 2023. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21335-9_13

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