On the solution of large Sylvester‐observer equations

DOI10.1002/nla.254zbMath1055.65079OpenAlexW2011438417MaRDI QIDQ4828887

Bryan W. Lewis, Lothar Reichel, Daniela Calvetti

Publication date: 26 November 2004

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.254

zbMATH Keywords

algorithmstabilityconvergencenumerical exampleseigenvaluescontrol systemSylvester equationArnoldi processLuenberger observerpartial fraction representation

Mathematics Subject Classification ID

Related Items (11)

Unique Full-Rank Solution of the Sylvester-Observer Equation and Its Application to State Estimation in Control Design ⋮ Computational Methods for Linear Matrix Equations ⋮ A new algorithm for generalized Sylvester-observer equation and its application to state and velocity estimations in vibrating systems ⋮ Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment ⋮ A new projection method for solving large Sylvester equations ⋮ Refinement methods for state estimation via Sylvester-observer equation ⋮ Solving the generalized Sylvester matrix equation \(AV+BW=EVF\) via a Kronecker map ⋮ Proportional multiple‐integral observer design for continuous‐time descriptor linear systems ⋮ Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations ⋮ Global quasi-minimal residual method for the Sylvester equations ⋮ Proportional multiple-integral observer design for discrete-time descriptor linear systems

Uses Software

• eigs

Cites Work

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• Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
• Krylov-subspace methods for the Sylvester equation
• Linear and numerical linear algebra in control theory: Some research problems
• Incomplete partial fractions for parallel evaluation of rational matrix functions
• On the selection of poles in the single-input pole placement problem
• An algorithm to assign eigenvalues in a Hessenberg matrix: Single input case
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned
• Application of ADI Iterative Methods to the Restoration of Noisy Images
• A Parallel Algorithm for the Sylvester Observer Equation

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