Stability and convergence properties of forced Lur'e system

该研究项目的目的是通过在最新的控制理论方法(如输入-状态稳定性理论、增量稳定性性质、强迫压缩系统)的基础上分析强迫动力学，将控制理论与更传统的应用数学领域联系起来，从而将新的方法引入到应用动力系统中。人口动态模型的应用将成为该项目的一个组成部分。后者需要使用正动力系统理论中的方法。该项目将包括离散时间模型和连续时间模型。最初，人们的注意力将集中在有限维系统上，但预计在项目的后半部分，研究中将包括某些无限维模型。

The aim of the research project is to link control theory to more traditional areas of applied mathematics by analysing forced dynamics on the basis of recent control theoretic methods (such as input-to-state stability theory, incremental stability properties, forced contractive systems), and thereby introducing new methodology into applied dynamical systems. Applications to models arising in population dynamics will form an integral part of the project. The latter will require the use of methods from the theory of positive dynamical systems. The project will encompass discrete-time as well as continuous time models. Initially, attention will focus on finite-dimensional systems, but it is anticipated to include certain infinite-dimensional models in the investigations during the second half of the project.