5 citations · 10 across the 5 of their papers we have counts for
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The analysis of vertex feedback stabilisability of a star-shaped network of fluid-conveying pipes
Xiao Xuan Feng, Gen Qi Xu, Mahyar Mahinzaeim
It is an outstanding problem whether a pipe-flow system on a star-shaped network is stabilisable by a feedback control on the common vertex. In the present paper we deal with this…
The Riesz basisness of the eigenfunctions and eigenvectors connected to the stability problem of a fluid-conveying tube with boundary control
Mahyar Mahinzaeim, Gen Qi Xu, Xiao Xuan Feng
In the present paper we study the stability problem for a stretched tube conveying fluid with boundary control. The abstract spectral problem concerns operator pencils of the forms…
Spectral analysis of a viscoelastic tube conveying fluid with generalised boundary conditions
Xiao Xuan Feng, Mahyar Mahinzaeim, Gen Qi Xu
We study the spectral problem associated with the equation governing the small transverse motions of a viscoelastic tube of finite length conveying an ideal fluid. The boundary con…
On the exponential stability of Beck's Problem on a star-shaped graph
Mahyar Mahinzaeim, Gen Qi Xu, Hai E Zhang
We deal with the as yet unresolved exponential stability problem for Beck's Problem on a metric star graph with three identical edges. The edges are stretched Euler--Bernoulli beam…