Abstract
In this chapter, we show that the stability of a system with any finitely large delay can be analyzed by invoking the Puiseux series. However, it is still not sufficient for solving the complete stability problem and there seems to be no routine solution due to the peculiarity that a critical imaginary root has infinitely many critical delays. In order to overcome such a peculiarity, we propose to prove the general invariance property.
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Li, XG., Niculescu, SI., Çela, A. (2015). Invariance Property: A Unique Idea for Complete Stability Analysis. In: Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays. SpringerBriefs in Electrical and Computer Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-15717-7_5
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DOI: https://doi.org/10.1007/978-3-319-15717-7_5
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-15717-7
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