The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain |$\Omega $|⁠. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.

中文翻译：

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半线性抛物线系统的强弱稳定性

本文的目的是研究在空间域| $ \ Omega $ |⁠上演化的无限半线性抛物系统的反馈镇定。我们考虑通过系统的光谱特性对状态空间进行分解。然后，我们将使用有限反馈将这种方法应用于强和弱稳定问题。介绍了应用程序。