# On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback

Bao-Zhu Guo; Jun-Min Wang; Cui-Lian Zhou

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 3, page 632-656
- ISSN: 1292-8119

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topGuo, Bao-Zhu, Wang, Jun-Min, and Zhou, Cui-Lian. "On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback." ESAIM: Control, Optimisation and Calculus of Variations 14.3 (2008): 632-656. <http://eudml.org/doc/250311>.

@article{Guo2008,

abstract = {
We study the dynamic behavior and stability of two connected
Rayleigh beams that are subject to, in addition to two sensors and
two actuators applied at the joint point, one of the actuators also
specially distributed along the beams. We show that with the
distributed control employed, there is a set of generalized
eigenfunctions of the closed-loop system, which forms a Riesz basis
with parenthesis for the state space. Then both the
spectrum-determined growth condition and exponential stability are
concluded for the system. Moreover, we show that the exponential
stability is independent of the location of the joint. The range of
the feedback gains that guarantee the system to be exponentially
stable is identified.
},

author = {Guo, Bao-Zhu, Wang, Jun-Min, Zhou, Cui-Lian},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Rayleigh beam; collocated control; spectral analysis;
exponential stability; exponential stability},

language = {eng},

month = {1},

number = {3},

pages = {632-656},

publisher = {EDP Sciences},

title = {On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback},

url = {http://eudml.org/doc/250311},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Guo, Bao-Zhu

AU - Wang, Jun-Min

AU - Zhou, Cui-Lian

TI - On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/1//

PB - EDP Sciences

VL - 14

IS - 3

SP - 632

EP - 656

AB -
We study the dynamic behavior and stability of two connected
Rayleigh beams that are subject to, in addition to two sensors and
two actuators applied at the joint point, one of the actuators also
specially distributed along the beams. We show that with the
distributed control employed, there is a set of generalized
eigenfunctions of the closed-loop system, which forms a Riesz basis
with parenthesis for the state space. Then both the
spectrum-determined growth condition and exponential stability are
concluded for the system. Moreover, we show that the exponential
stability is independent of the location of the joint. The range of
the feedback gains that guarantee the system to be exponentially
stable is identified.

LA - eng

KW - Rayleigh beam; collocated control; spectral analysis;
exponential stability; exponential stability

UR - http://eudml.org/doc/250311

ER -

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