Interconnected Systems with Uncertain Couplings: Explicit Formulae formu-Values, Spectral Value Sets, and Stability Radii

DOI10.1137/050626508zbMath1118.15009OpenAlexW2027124517MaRDI QIDQ3440244

Michael Karow, Anthony J. Pritchard, Diederich Hinrichsen

Publication date: 22 May 2007

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050626508

zbMATH Keywords

linear systemsperturbationsspectrumstability radiusinclusion theorems\(\mu\)-values

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

A note on the eigenvectors of perturbed matrices with applications to linear positive systems ⋮ An ISS small gain theorem for general networks ⋮ Gershgorin-Brualdi perturbations and Riccati equations ⋮ A Novel Iterative Method To Approximate Structured Singular Values ⋮ Robust stability of Metzler operators under parameter perturbations ⋮ Optimal value functions for weakly coupled systems: a posteriori estimates ⋮ On the computation of structured singular values and pseudospectra ⋮ Local ISS of large-scale interconnections and estimates for stability regions ⋮ Stability criteria for positive linear discrete-time systems ⋮ Unnamed Item

Uses Software

• Eigtool