Analysis and control of nonlinear feedback systems by differential positivity and dominance theory

博士项目植根于控制工程。该项目将开发分析和控制非线性反馈系统的方法，这在自然和工程系统中无处不在。该项目以差异分析为基础，利用了差异积极和优势的新理论。该项目的目的是开发用于分析和控制系统设计的新工具，这些系统表现出丰富的非线性行为（例如分岔，不连续和振荡），并在整个工程，物理科学，生命科学以及经济和社会科学中发现。新的算法将在项目中开发，以促进在几个感兴趣的应用中使用差分正性和优势理论，包括机器人，运输，生物过程以及大规模分布式系统的分析和设计。

The PhD project is rooted in Control engineering. The project will develop methods for analysis and control of nonlinear feedback systems, which are ubiquitous in natural and engineered systems. The project is based on differential analysis and takes advantage of the novel theories of differential positivity and dominance. The aim of the project is to develop new tools for analysis and control design of systems which exhibit richly non-linear behaviour (e.g. bifurcations, discontinuities and oscillations) and are found throughout engineering, the physical sciences, the life sciences and the economic and social sciences. Novel algorithms will be developed within the project to foster the use of differential positivity and dominance theory on several applications of interests, which include robotics, transportation, biological processes, and analysis and design of large-scale distributed systems.