Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations

DOI10.1137/16M1110169zbMath1379.65040arXiv1702.02486MaRDI QIDQ4598332

Michael L. Overton, Mert Gürbüzbalaban, Tim Mitchell, Nicola Guglielmi

Publication date: 20 December 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02486

zbMATH Keywords

algorithmdiscrete-time systemsrobust stabilitylinear dynamical systemscontinuous-time systemslarge sparse matricesreal stability radiusstructured pseudospectraspectral value sets\(H_\infty\) (H-infinity) norm

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical optimization and variational techniques (65K10) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items

Faster and More Accurate Computation of the $\mathcal{H}_\infty$ Norm via Optimization ⋮ On the real stability radius of sparse systems ⋮ Subspace method for the estimation of large-scale structured real stability radius ⋮ Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems

Uses Software

• PSAPSR

Cites Work

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