题目： Uniform Attractivity of Nonlinear Time-Varying Systems
报告人： 谈 瑛 （澳大利亚墨尔本大学）
时间： 2018年4月2日（周一） 14:00-15:00
Uniform global asymptotic stability is one the most important performance requirements in control design and analysis for nonlinear time-varying system due to its inherent robustness. Compared with checking uniform stability, checking uniform attractivity of nonlinear time-varying systems is very challenging. LaSalle invariance principle, Matrosov like result, persistent excitation (PE) condition and appropriate detectability condition are four methods that are commonly used to provide sufficient conditions to ensure uniform attractivity of a nonlinear system when a weak Lyapunov function is available. This talk will revisit these four different methods and provide a unified framework of checking uniform attractivity of nonlinear time-varying systems. The concept of PE pairs and detectability pairs will be introduced to characterize this new framework. A few illustrative examples will be presented to provide insight and intuition of this new framework
Dr Ying Tan received her Bachelor from Tianjin University, China in 1995. In 1998, she joined the National University of Singapore and finished her PhD study in 2002. She joined McMaster University in 2002 as a postdoctoral fellow in the Department of Chemical Engineering. She has started her work in the Department of Electrical and Electronic Engineering, the University of Melbourne since 2004. Currently Dr Ying Tan is an Associate Professor and Reader. Her research interests are in intelligent systems and their applications in rehabilitation robotic systems, nonlinear control systems, extremum seeking control, sampled-data distributed parameter systems and formation control. Dr Ying Tan is IEEE Senior member and a Steering Committee member of the Asian Control Association (ACA).