International Journal of Applied Mathematics, Computational Science and Systems Engineering
E-ISSN: 2766-9823
Volume 3, 2021
Analysis of behavior of a simple eigenvalue of singular system
Authors: ,
Abstract: Small perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family
$$ \left.\begin{matrix}E(p)x_ = A(p)x + B(p)u
& \\y = C(p)x
\end{matrix}\right\} $$
smoothly dependent on real parameters p = (p1,...pn).