报告时间:4月13日(星期六)16:00
报告地点:信息楼以诚为本赢在信誉9001cc316会议室
报 告 人:邓飞其,华南理工大学教授
(Prof. Feiqi Deng, South China University of Technology, China)
报告题目:Stabilization by noise
内容简介:In this talk, a new type stability theorems for stochastic systems and its application to stochastic stabilization are introduced. Firstly, a new type of stability theorem for stochastic systems is introduced. Based on this stability theorem and its corollaries, stochastic stabilization and destabilization by noise are further investigated. In the work, the local Lipschitz condition is weakened to the generalized local Lipschitz condition. The commonly used linear growth condition or one-side linear growth condition is weakened to the generalized one-side linear growth condition, which is local, variable and nonlinear, admits nearly arbitrary variability in the time and real nonlinearity in the state. As an application, a simple and direct design method is proposed for fnding a noise strength g(t;x) so that the added noise g(t;x)dB(t) stabilizes an unstable stochastic system or destabilizes a stable one. A numerical example is presented at the end of the note to illustrate the usage and efficiency of the proposed design method of the note. Related development will be introduced.
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 now he is serving as the chairs of the IEEE CSS Guangzhou Chapter and IEEE SMC Guangzhou Chapter, Associate Editor of IEEE Access, a vice editor-in-chief of Journal of South China University of Technology, and a member of the editorial boards of the following journals: Control Theory and Applications, All about Systems and Control, Journal of Systems Engineering and Electronics, and Journal of Systems Engineering, etc. His main research interests include stability, stabilization, and robust control theory of complex systems, including time-delay systems, nonlinear systems and stochastic systems. He has published over three hundreds of journal papers on IEEE Transactions on Automatic Control, Automatica, SIAM Journal of Control and Optimization, International Journal of Robust and Nonlinear Control, Nonlinear Analysis: Hybrid Systems and Systems & Control Letters etc. E-mail: aufqdeng@scut.edu.cn.