Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†

DOI10.1080/00207178408933211zbMath0535.93056OpenAlexW2001942223MaRDI QIDQ3320251

John P. Greschak, William C. Karl, George C. Verghese

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00207178408933211

zbMATH Keywords

stability of interval matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stability of control systems (93D99)

Related Items (20)

Stability robustness measures of state-space models ⋮ Stability analysis of interval matrices: another sufficient condition ⋮ Robustness of pole location in perturbed systems ⋮ Exponential stability of interval dynamical systems with quadratic nonlinearity ⋮ Note on Schur stability of three‐dimensional interval matrices ⋮ An algorithm for addressing the real interval eigenvalue problem ⋮ Stability analysis of interval matrices—continuous and discrete systems ⋮ Stability of interval parameter matrices ⋮ Stability analysis of interval matrices: improved bounds ⋮ New sufficient conditions for the stability of continuous and discrete time-delay interval systems ⋮ On sufficient conditions for the stability of interval matrices ⋮ On sufficient conditions for the stability of interval matrices ⋮ Sufficient condition for the positive definiteness of symmetric interval matrices ⋮ A survey of extreme point results for robustness of control systems ⋮ Stability for several types of interval matrices ⋮ A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices ⋮ Convergence property of interval matrices and interval polynomials ⋮ Some new results on the simultaneous stabilizability of a family of single input, single output systems ⋮ A Kharitonov-like theorem for interval polynomial matrices ⋮ Reduced conservatism in stability analysis of interval matrices

Cites Work

• Unnamed Item
• A necessary and sufficient condition for the stability of interval matrices

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