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arXiv · 1306.3798

Uniformly exponentially stable approximations for a class of damped systems with unbounded feedbacks

Zayd Hajjej·Mohamed Balegh
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Abstract

In this paper we study time semi-discrete approximations of a class of exponentially stable infinite dimensional systems with unbounded feedbacks. It has recently been proved that for time semi-discrete systems, due to high frequency spurious components, the exponential decay property may be lost as the time step tends to zero. We prove that adding a suitable numerical viscosity term in the numerical scheme, one obtains approximations that are uniformly exponentially stable with respect to the discretization parameter

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Zayd Hajjej, Mohamed Balegh. 2013-06-17. Uniformly exponentially stable approximations for a class of damped systems with unbounded feedbacks. https://arxiv.org/abs/1306.3798

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