报告题目: Stabilization by noise
报告人：邓飞其教授
报告地点: 数理楼145报告厅
报告时间：2021年4月1日上午10:30-11:30.
Abstract:
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.
Biography：
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. His main research interests include stability, stabilization and Control of of complex systems. E-mail: aufqdeng@scut.edu.cn.
