一类无界反馈阻尼系统的一致指数稳定逼近
Uniformly exponentially stable approximations for a class of damped systems with unbounded feedbacks
摘要：
本文研究了一类具有无界反馈的指数稳定无穷维系统的时间半离散逼近。最近的研究证明，对于时间半离散系统，由于高频寄生分量的存在，当时间步长趋于零时，系统的指数衰减特性可能丧失。我们证明了在数值格式中加入适当的数值粘性项，可以得到关于离散参数一致指数稳定的近似
英文摘要：
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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