An inequality for the spectral radius of an interval matrix

DOI10.1016/S0024-3795(97)00238-3zbMath0915.15017MaRDI QIDQ1386494

Chin-Tzong Pang, Mau-Hsiang Shih, Yung-Yih Lur

Publication date: 17 November 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityspectral radiusinterval matrixdiscrete time-varying linear systems

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (7)

Iterative learning control for discrete-time systems with event-triggered transmission strategy and quantization ⋮ Stability analysis of discrete-time iterative learning control systems with interval uncertainty ⋮ Simple criterion for asymptotic stability of interval neutral delay-differential systems ⋮ A note on asymptotic stability of an interval neutral delay-differential system ⋮ A sufficient condition for asymptotic stability of discrete-time interval system with delay ⋮ On the power sequence of a fuzzy interval matrix with max-min operation ⋮ Simultaneous Schur stability of interval matrices

Cites Work

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• Asymptotic stability and generalized Gelfand spectral radius formula
• On the convergence of powers of interval matrices
• Sets of matrices all infinite products of which converge
• Bounded semigroups of matrices
• On the stability of discrete-time linear interval systems
• The generalized spectral-radius theorem: An analytic-geometric proof

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