TY - GEN
T1 - Stability analysis for an Euler-Bernoulli beam under local internal control and boundary observation
AU - Wang, Jun Min
AU - Guo, Bao Zhu
PY - 2008
Y1 - 2008
N2 - In this paper, an Euler-Bernoulli beam system under the local internal distributed control and a boundary point observation is studied. We design an infinite-dimensional observer for the open-loop system. The closed loop-system that is non-dissipative is obtained by estimated state feedback. By a detailed spectral analysis, it is shown that there is a set of generalized eigenfunctions, which forms a Riesz basis for the state space. As consequences, both the spectrum-determined growth condition and exponential stability are concluded.
AB - In this paper, an Euler-Bernoulli beam system under the local internal distributed control and a boundary point observation is studied. We design an infinite-dimensional observer for the open-loop system. The closed loop-system that is non-dissipative is obtained by estimated state feedback. By a detailed spectral analysis, it is shown that there is a set of generalized eigenfunctions, which forms a Riesz basis for the state space. As consequences, both the spectrum-determined growth condition and exponential stability are concluded.
KW - Infinite-dimensional systems
KW - Time-invariant systems
UR - https://www.scopus.com/pages/publications/79961018964
U2 - 10.3182/20080706-5-KR-1001.0636
DO - 10.3182/20080706-5-KR-1001.0636
M3 - Conference contribution
AN - SCOPUS:79961018964
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -