报告题目： Analysis on existence of compact set in neural network control for nonlinear systems

报告时间：2024年6月28日（周五）上午10:00-11:00

报告地点：电气馆 A104

报告人：向峥嵘 教授

报告人简介：

向峥嵘，南京理工大学自动化学院教授，博士生导师。1998年12月于南京理工大学控制理论与控制工程专业获得博士学位。现任中国自动化学会委员、中国人工智能学会委员。主持多项国家级及省部级自然科学基金、重点研发等科研项目。担任多个国家及省部级项目评审专家和国内外重要期刊的审稿人。目前主要从事非线性系统、切换控制系统、多智能体系统等方面的理论及应用研究。

报告内容摘要：

Neural network method is an effective tool for approximating the unknown function in controller design for nonlinear systems. To guarantee the validity of the approximation, state variables in approximated unknown functions need to stay in a compact set. However, in most existing results, the existence of the compact set has not been correctly proven; therefore, the proof is not actually complete in these existing works. In this talk, we analyze the existence of compact sets for two typical nonlinear systems with novel neural network-based controllers and show the proof for the semi-global uniform ultimate boundedness of the closed-loop system.