Stabilization of a wave-wave system.
Aissa, N., Hamroun, D. (2004)
Portugaliae Mathematica. Nova Série
Similarity:
Aissa, N., Hamroun, D. (2004)
Portugaliae Mathematica. Nova Série
Similarity:
Bao-Zhu Guo, Jun-Min Wang, Cui-Lian Zhou (2008)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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...
Kandilakis, D.A., Magiropoulos, M., Zographopoulos, N.B. (2005)
Boundary Value Problems [electronic only]
Similarity:
Jun-Min Wang, Bao-Zhu Guo, Boumediène Chentouf (2006)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss...
Kai Medville, Michael S. Vogelius (2006)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Gen-Qi Xu, Siu Pang Yung (2003)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build...
de Lima Santos, Mauro (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Feng, De-Xing, Xu, Gen-Qi, Yung, Siu-Pang (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Pinasco, Juan Pablo (2004)
Abstract and Applied Analysis
Similarity:
Arruda, Lynnyngs Kelly (2010)
International Journal of Mathematics and Mathematical Sciences
Similarity: