Paper Info
Title
Stability And Instability Intervals Of Polynomially Dependent Systems: An Matrix Pencil Analysis
Abstract
In this paper we present a stability analysis approach for polynomially-dependent one-parameter systems. The approach, which appears to be conceptually appealing and computationally efficient and is referred to as an eigenvalue perturbation approach, seeks to characterize the analytical and asymptotic properties of eigenvalues of matrix-valued functions or operators. The essential problem dwells on the asymptotic behavior of the critical eigenvalues on the imaginary axis, that is, on how the imaginary eigenvalues may vary with respect to the varying parameter. This behavior determines whether the imaginary eigenvalues cross from one half plane into another, and hence plays a critical role in determining the stability of such systems. Our results reveal that the eigenvalue asymptotic behavior can be characterized by solving a simple generalized eigenvalue problem, leading to numerically efficient stability conditions.
Year
Venue
Field
2017
2017 AMERICAN CONTROL CONFERENCE (ACC)
Linear stability,Eigenvalue perturbation,Mathematical analysis,Exponential stability,Spectrum of a matrix,Asymptotic analysis,Mathematics,Eigenvalues and eigenvectors,Numerical stability,Stability theory
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
8
5
Name
Order
Citations
PageRank
Jie Chen1647124.78
P. Fu2122.29
César-Fernando Méndez-Barrios321.39
Silviu-iulian Niculescu4821108.06
Hongwei Zhang542714.56