Dynamical behavior of a hybrid system of nonhomogeneous timoshenko beam with partial non-collocated inputs

Authors:
Zhong-Jie Han;Gen-Qi Xu
Affiliations:
Department of Mathematics, Tianjin University, Tianjin, China;Department of Mathematics, Tianjin University, Tianjin, China
Venue:
Journal of Dynamical and Control Systems
Year:
2011

Citing 4
Cited 1

Boundary control of the Timoshenko beam

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Dynamic boundary control of the Timoshenko beam

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Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients

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Brief paper: The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control

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

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Abstract

The dynamical behavior of a kind of elastic hybrid system is considered. This system consists of a nonhomogeneous Timoshenko beam linked at its boundary to a rigid body. The non-collocated input terms are required in the boundary feedback controls. It is proved that this closed loop system is well-posed. By a complete eigenfrequency analysis, it is shown that this infinite-dimensional hybrid system satisfies spectrum-determined growth condition. The stability of this system is discussed and some simulations are given to show that this kind of hybrid system can be exponentially stable under certain condition.