The extreme eigenvalues and stability of Hermitian interval matrices

DOI10.1109/81.153638zbMath0758.65031OpenAlexW2156336948MaRDI QIDQ4014198

David Hertz

Publication date: 6 October 1992

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/81.153638

zbMATH Keywords

stabilitySchur stabilityextreme eigenvaluesHurwitz stabilityHermitian interval matrixHermitian vertex matricesKharitonov algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (8)

Positive definiteness of Hermitian interval matrices ⋮ Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality ⋮ An interval Kalman filtering with minimal conservatism ⋮ An iterative algorithm for the stability analysis of dynamic interval systems ⋮ Quadratic stability and stabilization of matrix second‐order time‐varying systems ⋮ Upper (lower) bounds of the eigenvalues, spread and the open problems for the real symmetric interval matrices ⋮ On the extreme eigenvalues of Toeplitz and real Hankel interval matrices ⋮ Extremal eigenvalue intervals of symmetric tridiagonal interval matrices

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