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Keywords
(1)
riesz basis
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Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass,10.1137/S0363012999354880,Siam Journal on Control and Optimization,BaoZh
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Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
(
Citations: 50
)
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BaoZhu Guo
Journal:
Siam Journal on Control and Optimization  SIAM
, vol. 39, no. 6, pp. 17361747, 2001
DOI:
10.1137/S0363012999354880
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www.informatik.unitrier.de
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Citation Context
(24)
...1 is the eigenvector (not generalized eigenvector) set of A with respect to λn for all sufficiently large n, then the spectrum determined growth condition holds, i.e., ω(A )= s(A), where ω(A) is the growth bound of e At , and s(A) is the spectral bound of A (see [
2
])...
...Hence, by Theorem 6.3 of [
2
], we conclude that the generalized eigenfunctions of A form a Riesz basis in H and all eigenvalues of A with sufficiently large modulus are algebraically simple...
JunMin Wang
,
et al.
Stabilization of coupled Schrödinger and heat equations with boundary ...
...A dierent version of Bari’s theorem used in control theory is in [
13
]...
L. Pandolfi
.
Riesz Systems and Controllability of Heat Equations with Memory
...On the other hand, as it has been shown for many other elastic systems in [
11
][23] that for a vibrating system, the vibration frequencies could determine all dynamic behaviors of the system...
...This is because for a viscoelastic system, the resolvent of the system operator is not compact anymore, which is sharp contrast with the systems discussed in [
11
][23]...
BaoZhu Guo
,
et al.
Frequency analysis of a wave equation with KelvinVoigt damping
...Since from Theorem 3.3 ,a llλik are different for sufficiently large λik and Ψik(x) are eigenfunctions of A corresponding to λik, all conditions of Theorem 6.3 of [
18
] are satisfied, proving the result...
J. M. Wang
,
et al.
Analyticity and Dynamic Behavior of a Damped ThreeLayer Sandwich Beam
...Proof: The statements (i)(iii) follow from Theorem 6.3 of [
4
] and (25)...
...This result would be significant since even though there is an extensive literature on the control of the EulerBernoulli beam, including, among others, [1], [7], [16], [
4
], [3], [5], [9]...
Miroslav Krstic
,
et al.
Boundary controllers and observers for Schrödinger equation
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Citations
(50)
Stabilization of coupled Schrödinger and heat equations with boundary coupling
JunMin Wang
,
Beibei Ren
,
Miroslav Krstic
Published in 2011.
Existence principle of an optimal control for a flexible beam with three turning axles
Xuezhang Hou
Conference:
IEEE International Conference on Automation and Logistics  ICAL
, pp. 477482, 2011
Spectral analysis of a wave equation with KelvinVoigt damping
(
Citations: 1
)
BaoZhu Guo
,
JunMin Wang
,
GuoDong Zhang
Journal:
Zammzeitschrift Fur Angewandte Mathematik Und Mechanik
, vol. 90, no. 4, pp. 323342, 2010
Riesz Basis Generation of a Hybrid System with Boundary Feedback Control
Cuilian Zhou
Conference:
International Conference on Computer Application and System Modeling  ICCASM
, 2010
Riesz basis property of a hybrid system by boundary feedback control
Unknown
Conference:
IEEE International Conference on Intelligent Computing and Intelligent Systems  ICIS
, 2010