Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays by Xu-Guang Li Silviu-Iulian Niculescu & Arben Çela

Author:Xu-Guang Li, Silviu-Iulian Niculescu & Arben Çela
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Remark 6.1

When , the Puiseux series (6.3) reduces to the well-known Taylor series. We can study the stability accordingly, see [70].

For an -multiple critical imaginary root at , can be obtained according to the Puiseux series (6.3). If it is the non-degenerate case , the first-order term ( by Algorithm 4.1) is sufficient. However, in the degenerate case, the higher order terms are required. In the sequel, we will show that we can estimate without invoking the Puiseux series.

6.3 Invariance Property When

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