| 报告题目： | On Input-to-state Stability of Impulsive Systems with Delays |
| 报 告 人： | Prof. Wei Xing Zheng |
| University of Western Sydney | |
| 报告时间： | 2015年7月17日（周五）下午03：30-04：30 |
| 报告地点： | 九龙湖数学系第一报告厅 |
| 相关介绍： | Abstract：In this talk we investigate the problem of input-to-state stability (ISS) of nonlinear delayed impulsive systems. Both the continuous dynamics and the discrete dynamics of nonlinear impulsive systems are subjected to external input. By virtue of the Razumikhin technique in combination with Lyapunov functions, we obtain some Razumikhin-type theorems that warrant input-to-state stability of nonlinear impulsive systems with time-delays. The Razumikhin-type input-to-state stability theorems cover the cases where the delayed continuous dynamics are input-to-state stable or destabilizing and the discrete dynamics are input-to-state stable or destabilizing, such that nonlinear delayed impulsive systems are able to retain input-to-state stability under certain conditions. The applicability of the derived Razumikhin-type theorems is illustrated by numerical results. Biography: Wei Xing Zheng received the B.Sc. degree in Applied Mathematics in 1982, the M.Sc. degree in Control Theory and Applications in 1984, and the PhD degree in Control Theory and Applications in1989, all from Southeast University, Nanjing, China. Over the years, he has held various faculty/research/visiting positions at Southeast University, China; Imperial College of Science, Technology and Medicine, UK; University of Western Australia, Curtin University of Technology, Australia; Munich University of Technology, Germany; University of Virginia, USA; and University of California-Davis, USA. Currently he holds the rank of Full Professor at University of Western Sydney, Australia. Prof. Zheng has served as an Associate Editor for a number of flagship journals, including IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications (2002―2004), IEEE Signal Processing Letters (2007―2010), IEEE Transactions on Circuits and Systems-II: Express Briefs (2008―2009), IEEE Transactions on Automatic Control (2004―2007 and 2013―now), Automatica (2011―now), IEEE Transactions on Fuzzy Systems (2014―now), IEEE Transactions on Cybernetics (2014―now), and other scholarly journals. He was also a Guest Editor of Special Issue on Blind Signal Processing and Its Applications for IEEE Transactions on Circuits and Systems-I: Regular Papers (2009―2010). He is a Fellow of IEEE. |
