Eigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations

DOI10.1137/16M1066877zbMath1365.15016arXiv1604.06671OpenAlexW2964003203MaRDI QIDQ5346747

Hannes Gernandt, Carsten Trunk

Publication date: 29 May 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06671

zbMATH Keywords

eigenvalueJordan chainregular matrix pencilsrank one perturbationsmatrix spectral perturbation theorypole placement problemsingle-input differential-algebraic equation with feedback

Mathematics Subject Classification ID

Feedback control (93B52) Pole and zero placement problems (93B55) Eigenvalues, singular values, and eigenvectors (15A18) Control/observation systems governed by ordinary differential equations (93C15) Matrix pencils (15A22)

Related Items (15)

Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators ⋮ Finite rank perturbations of linear relations and matrix pencils ⋮ The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation ⋮ Fixed rank perturbations of regular matrix pencils ⋮ Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade ⋮ Bounded rank perturbations of regular pencils over arbitrary fields ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ A note on essential spectra of linear operator pencils ⋮ Bounded rank perturbations of a regular matrix pencil ⋮ Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields ⋮ Rank-one perturbations of matrix pencils ⋮ Spectra of rank-one perturbations of self-adjoint operators ⋮ Weierstrass Structure and Eigenvalue Placement of Regular Matrix Pencils under Low Rank Perturbations ⋮ Rank One Perturbations of Matrix Pencils ⋮ Spectra of $\mathcal{PT}$-symmetric operators under rank-one perturbations

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