Abstract
Thus far we have studied the damped system through its phase space matrix A by taking into account its J-Hermitian structure and the underlying indefinite metric. Now we come back to the fact that this matrix stems from a second order system which carries additional structure commonly called ‘the quadratic eigenvalue problem’.We study the spectrum of A and the behaviour of its exponential over time. A special class of so-called overdamped systems will be studied in some detail.
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© 2011 Springer-Verlag Berlin Heidelberg
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Veselić, K. (2011). The Quadratic Eigenvalue Problem. 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_14
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DOI: https://doi.org/10.1007/978-3-642-21335-9_14
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21334-2
Online ISBN: 978-3-642-21335-9
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