Robust Eigenstructure Assignment in Quadratic Matrix Polynomials: Nonsingular Case

DOI10.1137/S0895479899362867zbMath0995.65069MaRDI QIDQ2719203

Jaroslav Kautsky, Nancy K. Nichols

Publication date: 21 June 2001

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

zbMATH Keywords

numerical examplesfeedback designstructured perturbationssecond-order control systemssensitivity measuresrobust eigenstructure assignmentquadratic matrix polynomialquadratic inverse eigenvalue problem

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Numerical optimization and variational techniques (65K10) Feedback control (93B52) Pole and zero placement problems (93B55) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (12)

Linear matrix inequalities for analysis and control of linear vector second‐order systems ⋮ The robust pole assignment problem for second-order systems ⋮ Solutions to an inverse monic quadratic eigenvalue problem ⋮ Lyapunov method for stability of descriptor second-order and high-order systems ⋮ A multi-step method for partial quadratic pole assignment problem with time delay ⋮ Semi-definite programming techniques for structured quadratic inverse eigenvalue problems ⋮ Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems ⋮ Updating undamped structural models using displacement output feedback ⋮ Analytical dynamic model modification using acceleration and displacement feedback ⋮ Unnamed Item ⋮ Isospectral vibrating systems. I: The spectral method ⋮ Perturbation theory for homogeneous polynomial eigenvalue problems

This page was built for publication: Robust Eigenstructure Assignment in Quadratic Matrix Polynomials: Nonsingular Case