On the nearest stable \(2\times 2\) matrix, dedicated to Prof. Sze-Bi Hsu in appreciation of his inspiring ideas

DOI10.3934/dcdsb.2020358zbMath1466.15023OpenAlexW3112001308MaRDI QIDQ2033433

Huan-Chang Cheng, Yueh-Cheng Kuo, Shih-Feng Shieh, Jhih-You Syu

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020358

zbMATH Keywords

stability radiusglobal minimizermatrix approximationlinear continuous-time systems

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (1)

Nearest \(\Omega \)-stable matrix via Riemannian optimization

Cites Work

• Unnamed Item
• Nearest stable system using successive convex approximations
• On computing the distance to stability for matrices using linear dissipative Hamiltonian systems
• Duality of matrix pencils, Wong chains and linearizations
• Approximating the nearest stable discrete-time system
• On approximating the nearest Ω‐stable matrix
• Computing the nearest stable matrix pairs
• Optimal Robustness of Port-Hamiltonian Systems

This page was built for publication: On the nearest stable \(2\times 2\) matrix, dedicated to Prof. Sze-Bi Hsu in appreciation of his inspiring ideas