报告题目：Stabilisation of hybrid stochastic systems in the presence of asynchronous switching and input delay

报 告 人：邓飞其教授（华南理工大学）

报告时间：2021年3月31日  10:30-11:30

报告地点：数统院5楼数学研究中心智慧教室

报告摘要：

The talk concerns the pth moment and almost sure stabilization of a class of nonlinear hybrid stochastic system with input delays in both the switching signal and the state. By using Lyapunov functional approach, sufficient conditions are established in terms of sizes of the delays ensuring the pth moment exponential stability of the system. By developing a composite mode dependent Lyapunov function approach, we derive novel almost sure exponential stability criteria for a delay-free hybrid stochastic system without imposing the stability condition on the subsystems. The almost sure stability property of the hybrid system with delayed feedback controller is confirmed to be preserved as long as the corresponding delay-free system is almost sure exponential stabilization and the delays are small enough. Numerical examples are applied to demonstrate the theoretical results.

报告人简介：

Feiqi Deng was born in 1962. He received the Ph.D. degree in control theory and control engineering from South China University of Technology, Guangzhou, in June 1997. Since October 1999, he has been a professor with South China University of Technology and the director of the Systems Engineering Institute of the university. He is currently a member of Technical Committee on Control Theory (TCCT), Chinese Association of Automation, and and now he is serving as the chair of the IEEE CSS Guangzhou Chapter, the director of the TCCT Technical Committee on Stochastic System Control, the vice editor-in-chief of Journal of South China University of Technology, and member of the editorial boards of the journals: IEEE Access, AIMS Mathematics, Control theory and Applications and All about Systems and Control.