Stability analysis of interval matrices—continuous and discrete systems

DOI10.1080/00207178808905993zbMath0637.65032OpenAlexW2160727680MaRDI QIDQ3777324

Robin J. Evans, Yeng Chai Soh

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207178808905993

zbMATH Keywords

upper boundinterval analysisstability of matricesstability of polynomialsinterval perturbationsstability of a linear system

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (7)

Characterization of robust controllers ⋮ Necessary and sufficient conditions for stability of time-varying discrete interval matrices ⋮ An approximate method for the standard interval eigenvalue problem of real non-symmetric interval matrices ⋮ New sufficient conditions for the stability of continuous and discrete time-delay interval systems ⋮ Bibliography on robust control ⋮ Robustness of discrete systems under structured uncertainties ⋮ Robust satisfactory fault-tolerant control of continuous-time interval systems with time-varying state and input delays

Cites Work

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• Stability of polynomials under coefficient perturbation
• Simple criteria for stability of interval matrices
• Improved measures of stability robustness for linear state space models
• 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
• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• A geometric approach to stabilization by output feedback
• A necessary and sufficient condition for the stability of interval matrices
• On the stability properties of polynomials with perturbed coefficients

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