Document Type
Article
Publication Date
2-2018
Publication Title
Automatica
Department
Mechanical & Industrial Engineering
Abstract
This paper studies the migration of double imaginary roots of the systems’ characteristic equation when two parameters are subjected to small deviations. The proposed approach covers a wide range of models. Under the least degeneracy assumptions, we found that the local stability crossing curve has a cusp at the point that corresponds to the double root, and it divides the neighborhood of this point into an S-sector and a G-sector. When the parameters move into the G-sector, one of the roots moves to the right halfplane, and the other moves to the left half-plane. When the parameters move into the S-sector, both roots move either to the left half-plane or the right half-plane depending on the sign of a quantity that depends on the characteristic function and its derivatives up to the third order.
Recommended Citation
Irofti, Dina Alina; Gu, Keqin; Boussaada, Islam; and Niculescu, Silviu-Iulian, "Some insights into the migration of double imaginary roots under small deviation of two parameters" (2018). SIUE Faculty Research, Scholarship, and Creative Activity. 82.
https://spark.siue.edu/siue_fac/82
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