Exponential stability and spectral analysis of the pendulum system under position and delayed position feedbacks

DOI10.1080/00207179.2011.582886zbMath1245.93053OpenAlexW2003866494MaRDI QIDQ2909412

Dong-Xia Zhao, Jun-Min Wang, Xiao-Wen Lv

Publication date: 30 August 2012

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2011.582886

zbMATH Keywords

exponential stabilityspectral analysissemigroup approachasymptotic spectral expressionlinearized pendulum system

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Linearizations (93B18) Asymptotic stability in control theory (93D20) Control of mechanical systems (70Q05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Spectral analysis of Timoshenko beam with time delay in interior damping ⋮ Exponential stability and spectral analysis of a delayed ring neural network with a small-world connection ⋮ Stabilization of the pendulum system by coupling with a heat equation ⋮ Spectral analysis and stabilization of a coupled wave-ODE system ⋮ Stabilization of an unstable reaction-diffusion PDE cascaded with a heat equation ⋮ Time-delayed feedback stabilisation of nonlinear potential systems

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