On the vibration-suppression property and monotonicity behavior of a special weighted norm for dynamical systems \(\dot x=Ax, x(t_0)=x_0\)

DOI10.1016/j.amc.2013.06.091zbMath1333.34020OpenAlexW1666096068MaRDI QIDQ907428

Publication date: 25 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.091

zbMATH Keywords

initial value problem two-sided bounds vibration suppression weighted norm free vibration problem monotonicity behavior state-space description

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear ordinary differential equations and systems (34A30)

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Spectral properties of the matrix \(C^{-1} B\) with positive definite \(C\) and Hermitian \(B\) as well as applications ⋮ Further spectral properties of the matrix \(C^{-1}B\) with positive definite \(C\) and Hermitian \(B\) applied to wider classes of matrices \(C\) and \(B\) ⋮ Trigonometric spline and spectral bounds for the solution of linear time-periodic systems ⋮ Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms

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