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Titlebook: Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays; Xu-Guang Li,Silviu-Iulian Niculescu,Arben Cela Boo

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https://doi.org/10.1007/978-3-319-55116-6First, the basic concepts and definitions of the stability of time-delay systems are recalled. Then we illustrate the intricate spectral characteristics along with some examples and explain the necessity of adopting the so-called .-decomposition idea. Furthermore, the current bottleneck is briefly d
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Juliet Langman,Holly Hansen-Thomasseux series will be introduced and discussed in detail (the related definitions, the convergence, and the Newton diagram are included). Finally, we illustrate how to apply the Puiseux series to analyze the local behavior of an analytic curve. It turns out that an analytical curve can be appropriatel
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Isabel Íñigo-Mora,Cristina Lastres-López in Chap. .. Such a new perspective may help us to understand more deeply the spectral characteristics associated with time-delay systems. As illustrated by the motivating examples of this chapter, some key information concerning the spectral characteristics tends to be overlooked by the existing me
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https://doi.org/10.1007/978-981-97-1355-4 algorithm for calculating all the first-order terms of the Puiseux series. Furthermore, we show that the proposed approach can be used to obtain higher order terms of the Puiseux series in order to study appropriately the degenerate case. Finally, some useful properties on the Puiseux series are pr
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Milica Vuković-Stamatović,Branka Živkovićproperty has been proved in the literature, some new perspectives are obtained. We first study the asymptotic behavior of the frequency-sweeping curves by means of the dual Puiseux series, a new concept proposed in this chapter. Then, a useful equivalence relation between the Puiseux series and the
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Introduction,s a rather lengthy section (Chapter 4) which describes in some detail the various ways in which the Accounts may be used in efforts either to understand the ecology of species or to manipulate their distribution and abundance.
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