Stability and paracontractivity of discrete linear inclusions

DOI10.1016/S0024-3795(00)00094-XzbMath0964.15032WikidataQ127774082 ScholiaQ127774082MaRDI QIDQ1573666

Ludwig Elsner, Wolf-Jürgen Beyn, Alexander Vladimirov

Publication date: 9 July 2001

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

zbMATH Keywords

stabilitybounded variationconvergent productdiscrete linear inclusionparacontracting matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

The generalized spectral radius and extremal norms ⋮ On angles, projections and iterations ⋮ On the structure of finite-dimensional paracontractions ⋮ Uniform stabilization of discrete-time switched and Markovian jump linear systems ⋮ The eigenvalue problem for linear and affine iterated function systems ⋮ Compact global attractors of discrete inclusions ⋮ Infinite products of uniformly paracontracting matrices ⋮ Lipschitz continuity of polyhedral Skorokhod maps

Cites Work

• On the convergence of asynchronous paracontractions with application to tomographic reconstruction from incomplete data
• Realization of certain input-output correspondences in a finite- dimensional space
• Sets of matrices all infinite products of which converge
• Bounded semigroups of matrices
• The generalized spectral-radius theorem: An analytic-geometric proof
• Stability of discrete linear inclusion
• Convex duality and the Skorokhod problem. I
• Nonstationary dissipative evolution equations in a Hilbert space
• Infinite products and paracontracting matrices
• On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
• Norm conditions for convergence of infinite products
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