A new approach for calculating the real stability radius

DOI10.1007/s10543-013-0457-xzbMath1317.65097OpenAlexW2009849632MaRDI QIDQ398622

Melina A. Freitag, Alastair Spence

Publication date: 15 August 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-013-0457-x

zbMATH Keywords

numerical exampleHamiltonian matrixsingular valuestructured perturbationsimaginary eigenvalueHamiltonian eigenvalue problemimplicit determinant methodreal stability radius

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Eigenvalue problems (93B60) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

New Algorithms for Computing the Real Structured Pseudospectral Abscissa and the Real Stability Radius of Large and Sparse Matrices ⋮ On the real stability radius of sparse systems ⋮ Subspace method for the estimation of large-scale structured real stability radius ⋮ On real structured controllability/stabilizability/stability radius: complexity and unified rank-relaxation based methods ⋮ Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations ⋮ On the Method by Rostami for Computing the Real Stability Radius of Large and Sparse Matrices

Uses Software

• MatrixMarket
• Eigtool
• Seigtool
• Algorithm 854
• PSAPSR

Cites Work

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• Algorithm 854
• A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
• Stable Solvers and Block Elimination for Bordered Systems
• An Algorithm for Computing the Distance to Instability
• The computation of Jordan blocks in parameter-dependent matrices
• The calculation of the distance to a nearby defective matrix

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