Indirect stability of the wave equation with a dynamic boundary control
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DOI: 10.1002/mana.201700021
Abstract: In this paper, we consider a damped wave equation with a dynamic boundary control. First, combining a general criteria of Arendt and Batty with Holmgren's theorem we show the strong stability of our system. Next,… read more here.
Keywords: decay; system; control; polynomial decay ... See more keywords
Feedback stabilisation and polynomial decay estimate for time delay bilinear systems
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DOI: 10.1080/00207179.2019.1693061
Abstract: In this paper, we are concerned with the question of weak and strong stabilisation for distributed bilinear systems with time delay using continuous feedback controls. In the case of strong stabilisation, a polynomial decay rate… read more here.
Keywords: stabilisation; bilinear systems; polynomial decay; stabilisation polynomial ... See more keywords
The Distribution of Phase Shifts for Semiclassical Potentials with Polynomial Decay
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DOI: 10.1093/imrn/rny180
Abstract: This is the 3rd paper in a series [6, 9] analyzing the asymptotic distribution of the phase shifts in the semiclassical limit. We analyze the distribution of phase shifts, or equivalently, eigenvalues of the scattering… read more here.
Keywords: shifts semiclassical; distribution phase; phase shifts; polynomial decay ... See more keywords