Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that the spectrum-determined growth condition holds for the closed-loop system of a vibration cable with a tip mass and linear boundary feedback control. The optimal decay rate of the energy for a case left unsolved previously is determined, and the asymptotic expansion of the associated semigroup is obtained. As a consequence of the approach,  show, in a different point of view, the lack of uniform exponential stability of the system with only boundary velocity feedback control.
['Bao-Zhu Guo', 'Cheng-Zhong Xu']
I am writing a research paper on a idea On the spectrum-determined growth condition of a vibration cable with a tip mass
[{"from": "human", "value": "I am writing a research paper on a idea On the spectrum-determined growth condition of a vibration cable with a tip mass"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that the spectrum-determined growth condition holds for the closed-loop system of a vibration cable with a tip mass and linear boundary feedback control. The optimal decay rate of the energy for a case left unsolved previously is determined, and the asymptotic expansion of the associated semigroup is obtained. As a consequence of the approach,  show, in a different point of view, the lack of uniform exponential stability of the system with only boundary velocity feedback control."}]