学术报告第201730期

报告题目：HYBRID STABILIZATION AND SYNCHRONIZATION OF NONLINEAR SYSTEMS WITH UNBOUNDED DELAYS

报 告 人：Xinzhi Liu教授（加拿大滑铁卢大学）

报告时间：2017年6月13日10:00

报告地点：南一楼中311室

摘要:The stabilization of nonlinear systems with bounded and unbounded time-delays via hybrid control is studied. We investigate and identify switching rules for which stabilization can be verified a priori. When this approach is inadequate, stabilizing state-dependent switching rules are constructed. This method is based on partitioning the state-space into switching regions. Unwanted physical behavior, such as chattering and Zeno behavior, is avoided. Sufficient conditions are established using Razumikhin-like theorems. The theoretical results provide insight into how hybrid control strategies can be constructed to synchronize a class of nonlinear systems with unbounded delay. The findings are illustrated through numerical simulations.

报告人简介:刘新芝教授现任加拿大滑铁卢大学应用数学系教授。1988年在美国德克萨斯大学阿灵顿分校获博士学位。于1990年受聘滑铁卢大学并于1994年被聘为该校终身教授。

刘新芝教授是国家教育部"长江学者奖励计划"（第三批）特聘教授，于2001年元月受聘于太阳集团1088vip.

刘教授的研究方向包括:混合动力系统,非线性系统控制及稳定性,复杂网络的同步,保密通讯,传染病模型等。已发表学术论文300余篇，学术专著3部, 学术编著20余部。刘教授现任国际学术杂志"DCDIS Series A, Mathematical Analysis" 、"DCDIS Series B, Applications and Algorithms" 和"Journal of Nonlinear Systems and Applications" 的主编，并兼任多个国际学术杂志的编委。