More on pseudospectra for polynomial eigenvalue problems and applications in control theory

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Bounds for eigenvalues of matrix polynomials (2003, unknown): “When computing pseudospectra of matrix polynomials, which provide information about the global sensitivity of the eigenvalues [8,23], a particular region of the (possibly extended) complex plane must be identified that contains the eigenvalues of interest, and bounds clearly help to determine such r”
Analysis and Numerical Solution of Generalized Lyapunov Equations (2002, background): “Recently the concept of ε-pseudospectra and spectral portraits [60, 157] was developed to better understand the influence of perturbations on the spectrum of matrices and matrix pencils, see also [62, 76, 158, 159] and references therein.”
Perturbation theory for homogeneous polynomial eigenvalue problems (2003, background): “In [13] it is shown that pseudospectra for matrix polynomials with infinite eigenvalues and their applications in control theory can be elegantly treated in the homogeneous framework.”
NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013, background): “The quadratic Q(λ) = λ(2)M + λD + K is close to being nonregular [8], [23].”