A note on mode decoupling of linear time-invariant systems using the generalized sign matrix

DOI10.1016/j.amc.2013.04.045zbMath1310.34013OpenAlexW2066044624MaRDI QIDQ470938

J. Leyva-Ramos

Publication date: 13 November 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.04.045

zbMATH Keywords

invariant subspacespectral decompositionmatrix sign functionmode decoupling

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Invariant manifolds for ordinary differential equations (34C45)

Related Items (4)

A globally convergent variant of mid-point method for finding the matrix sign ⋮ Constructing a high-order globally convergent iterative method for calculating the matrix sign function ⋮ Approximating the matrix sign function using a novel iterative method ⋮ A fourth-order method for computing the sign function of a matrix with application in the Yang-Baxter-like matrix equation

Cites Work

• Subspace identification by data orthogonalization and model decoupling
• Spectral decomposition of a matrix using the generalized sign matrix
• The matrix sign function and computations in systems
• A mode decoupling continuum shape sensitivity method for fracture analysis of functionally graded materials
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• Accelerated convergence of the matrix sign function method of solving Lyapunov, Riccati and other matrix equations
• Computation of the matrix sign function using continued fraction expansion
• The matrix sign function
• Functions of Matrices

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