A Perturbation Result for Linear Control Problems

DOI10.1137/0606007zbMath0574.65070OpenAlexW2005629214MaRDI QIDQ3692741

Daniel L. Boley

Publication date: 1985

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0606007

zbMATH Keywords

linear systemperturbation analysisstaircase algorithmreachable spacecontrollable space

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Controllability (93B05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Perturbation analysis of system Hessenberg and Hessenberg-triangular forms ⋮ Formulae for the distance between controllable and uncontrollable linear systems ⋮ A global minimum search algorithm for estimating the distance to uncontrollability ⋮ On eigenvalue and canonical form assignments

Cites Work

• The generalized eigenstructure problem in linear system theory
• Properties of numerical algorithms related to computing controllability
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• An Estimate for the Condition Number of a Matrix
• Mathematical Description of Linear Dynamical Systems
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