A perturbation method for optimizing matrix stability

DOI10.1016/j.laa.2010.09.035zbMath1208.93044OpenAlexW1966444741MaRDI QIDQ616397

Joseph M. Steiner, Nian Li

Publication date: 7 January 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.035

zbMATH Keywords

affine matrix problemoptimal stabilityoutput feedback control problempractical perturbation methodspectral abcissa

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Stabilization of systems by feedback (93D15) Eigenvalue problems (93B60) Asymptotic stability in control theory (93D20) Eigenvalues, singular values, and eigenvectors (15A18)

Uses Software

• complib
• COMPleib

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inertia characteristics of self-adjoint matrix polynomials
• On condition numbers of a nondefective multiple eigenvalue
• A matrix inverse eigenvalue problem and its application
• Two numerical methods for optimizing matrix stability
• Low-order control design for LMI problems using alternating projection methods
• A cone complementarity linearization algorithm for static output-feedback and related problems
• NP-Hardness of Some Linear Control Design Problems
• Robust Control via Sequential Semidefinite Programming
• Partially Augmented Lagrangian Method for Matrix Inequality Constraints
• Optimal stability and eigenvalue multiplicity

This page was built for publication: A perturbation method for optimizing matrix stability