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

DOI10.1007/S10883-012-9143-6zbMath1256.93089OpenAlexW1984928135MaRDI QIDQ1935312

Dong-Xia Zhao, Jun-Min Wang

Publication date: 14 February 2013

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-012-9143-6

zbMATH Keywords

semigroup approachasymptotic eigenvalueslinearized inverted pendulum systemRiesz spectrum projectiontwo delayed position feedbackswell-posedness of the closed loop system

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Asymptotic stability in control theory (93D20) Operator-theoretic methods (93B28) General theory of ordinary differential operators (47E05) Control/observation systems in abstract spaces (93C25)

Related Items (5)

Output feedback stabilization of an ODE-Schrödinger cascade system subject to boundary control matched unknown disturbance ⋮ Performance output tracking for an ODE cascaded with Schrödinger equation subject to disturbances ⋮ Spectral analysis of Timoshenko beam with time delay in interior damping ⋮ Stabilization of the pendulum system by coupling with a heat equation ⋮ Backstepping state feedback regulator design for an unstable reaction-diffusion PDE with long time delay

Uses Software

• Matlab

Cites Work

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