scientific article; zbMATH DE number 6152604

zbMath1271.15006MaRDI QIDQ4915356

Guang-Da Hu, Taketomo Mitsui

Publication date: 10 April 2013

Full work available at URL: http://www.kybernetika.cz/content/2012/5/865

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lyapunov equationeigenvaluestwo-sided boundsmatrix exponentialweighted logarithmic matrix norm

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Inequalities involving eigenvalues and eigenvectors (15A42) Stability of solutions to ordinary differential equations (34D20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

Modeling information diffusion in social networks with ordinary linear differential equations

Cites Work

• A relation between the weighted logarithmic norm of a matrix and the Lyapunov equation
• The weighted logarithmic matrix norm and bounds of the matrix exponential
• A further remark on the logarithmic derivatives of a square matrix
• On Logarithmic Norms
• Bounds and perturbation bounds for the matrix exponential
• Properties of the weighted logarithmic matrix norms
• Feedback Systems
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