Stability radii of linear differential algebraic equations
The author deals with the problem of the stability radius for systems described by a differential-algebraic equation of the form \(A\dot x(t)+ Bx(t)=0\) with the constant matrices \(A\) and \(B\) where the matrix \(A\) is degenerate and the pencil \(\{A,B\}\) is regular. The stability radius is defined as the smallest value \(\rho\) of the norm of real or complex perturbations destabilizing the system.
scientific article; zbMATH DE number 1485040