Stability of interval parameter matrices

DOI10.1080/00207178708933792zbMath0617.65042OpenAlexW1984889929MaRDI QIDQ4727292

Zhi-Cheng Shi, Weibin Gao

Publication date: 1987

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178708933792

zbMATH Keywords

stability of interval matricestimy-varying matrices

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Matrix equations and identities (15A24) Interval and finite arithmetic (65G30)

Related Items (7)

Perturbation method for computing eigenvalue bounds in structural vibration systems with interval parameters ⋮ Stability of interval matrix polynomial in continuous and discrete cases ⋮ New sufficient conditions for the stability of continuous and discrete time-delay interval systems ⋮ An evolution strategy method for computing eigenvalue bounds of interval matrices ⋮ Computing eigenvalue bounds of structures with uncertain‐but‐non‐random parameters by a method based on perturbation theory ⋮ Bibliography on robust control ⋮ Unnamed Item

Cites Work

• On copositive matrices
• Simple criteria for stability of interval matrices
• Counter-example to a recent result on the stability of interval matrices by S. Bialas
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• Sufficient conditions for stability of interval matrices
• A necessary and sufficient condition for the stability of interval matrices
• A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices

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