An efficient algorithm for damper optimization for linear vibrating systems using Lyapunov equation

DOI10.1016/j.cam.2004.02.005zbMath1126.93411OpenAlexW2020283155MaRDI QIDQ1883480

Ninoslav Truhar

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.02.005

zbMATH Keywords

Lyapunov equationDamped vibrationOptimization of dampers' viscosities

Mathematics Subject Classification ID

Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix ⋮ Optimal damping of selected eigenfrequencies using dimension reduction ⋮ Optimizing a damped system – a case study ⋮ Approximation of damped quadratic eigenvalue problem by dimension reduction ⋮ Dimension reduction for damping optimization in linear vibrating systems ⋮ Sherman–Morrison–Woodbury formula for Sylvester andT-Sylvester equations with applications

Uses Software

• Algorithm 432

Cites Work

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• On linear vibrational systems with one dimensional damping. II
• Inertia characteristics of self-adjoint matrix polynomials
• Exponential decay of semigroups in Hilbert space
• Estimating the operator exponential
• The Quadratic Eigenvalue Problem
• 10.1162/15324430260185619
• On linear vibrational systems with one dimensional damping
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]

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