Perturbation bounds for stable gyroscopic systems in motion about an unstable equilibrium position

DOI10.1016/J.CAM.2024.116061MaRDI QIDQ6582014

Ivana Kuzmanović Ivičić, Suzana Miodragović

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

gyroscopic systemsperturbed eigenvaluesperturbed eigenvectors

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Linear vibration theory (70Jxx)

Cites Work

• On the stability of linear conservative gyroscopic systems
• Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem
• A Jacobi eigenreduction algorithm for definite matrix pairs
• Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
• Perturbation bounds for stable gyroscopic systems
• The quadratic eigenvalue problem
• Extensions of Wielandt’s min–max principles for positive semi-definite pencils
• Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications
• A Sufficient Condition for the Stability of Conservative Gyroscopic Systems
• Overdamped and Gyroscopic Vibrating Systems
• Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum
• Standard forms of the eigenvalue problems associated with gyroscopic systems
• Alternative formulations for discrete gyroscopic eigenvalue problems
• On the Lyapunov stability of linear conservative gyroscopic systems

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