Necessary and sufficient conditions for stability of a class of interval matrices

DOI10.1080/00207178708933721zbMath0611.15017OpenAlexW2001296987MaRDI QIDQ3751727

Xiao-Xin Liao

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933721

zbMATH Keywords

interval matrixcomplete instabilitycomposite stability type

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (13)

A sufficient condition for stability of a polytope of matrices ⋮ Robust interval stability, persistence, and partial stability of Lotka-Volterra systems with time-delay ⋮ On the performance of Kalman filter for Markov jump linear systems with mode mismatch ⋮ An iterative algorithm for the stability analysis of dynamic interval systems ⋮ Unnamed Item ⋮ Successive overrelaxation iteration for the stability of large scale systems ⋮ Invariance properties of interval dynamical systems ⋮ Stability of matrix polytopes with a dominant vertex and implications for system dynamics ⋮ Diagonal stability of interval matrices and applications ⋮ Bibliography on robust control ⋮ Stability confidence for fuzzy matrices ⋮ Sufficient conditions for the stability of interval matrices ⋮ Robust D stabilization of a polytope of matrices

Cites Work

• Simple criteria for stability of interval matrices
• Counter-example to a recent result on the stability of interval matrices by S. Bialas
• Sufficient conditions for stability of interval matrices
• A necessary and sufficient condition for the stability of interval matrices

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