In this paper, we deal with stabilisation for a class of second-order systems. We establish several results concerning stabilisation of bilinear systems and we give sufficient conditions for exponential and strong stabilisation of semilinear second-order systems. The obtained results are illustrated by many examples and simulations.

中文翻译：

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二阶双线性和半线性系统的稳定性

在本文中，我们处理一类二阶系统的稳定性。我们建立了关于双线性系统稳定性的几个结果，并且我们给出了半线性二阶系统的指数和强稳定性的充分条件。得到的结果通过许多例子和模拟来说明。