报告题目：Stabilizationby noise                                    

报告人：邓飞其华南理工大学    

报告时间：2018年7月13日（周五）下午16:30-17:30                                    

报告地点：电气学院A408

报告人简介：

FeiqiDeng was born in 1962. He received the Ph.D. degree in control theory andcontrol engineering from South China University of Technology, Guangzhou, inJune 1997. Since October 1999, he has been a professor with South ChinaUniversity of Technology and the director of the Systems Engineering Instituteof the university. He is currently a member of Technical Committee on ControlTheory (TCCT), Chinese Association of Automation, and now he is serving as thechairs of the IEEE CSS Guangzhou Chapter and IEEE SMC Guangzhou Chapter,Associate Editor of IEEE Access, a vice editor-in-chief of Journal of SouthChina University of Technology, and a member of the editorial boards of thefollowing journals: Control Theory and Applications, All about Systems andControl, Journal of Systems Engineering and Electronics, and Journal of SystemsEngineering, 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 hundredsof journal papers on IEEE Transactions on Automatic Control, Automatica, SIAMJournal of Control and Optimization, International Journal of Robust andNonlinear Control, Nonlinear Analysis: Hybrid Systems and Systems & ControlLetters, etc.                                    

报告摘要：

In this talk, a new typestability theorems for stochastic systems and its application to stochasticstabilization are introduced. Firstly, a new type of stability theorem forstochastic systems is introduced. Based on this stability theorem and itscorollaries, stochastic stabilization and destabilization by noise are furtherinvestigated. In the work, the local Lipschitz condition is weakened to thegeneralized local Lipschitz condition. The commonly used linear growthcondition or one-side linear growth condition is weakened to the generalizedone-side linear growth condition, which is local, variable and nonlinear,admits nearly arbitrary variability in the time and real nonlinearity in thestate. As an application, a simple and direct design method is proposed forfinding a noise strength g(t;x) so that the added noise g(t;x)dB(t) stabilizesan unstable stochastic system or destabilizes a stable one. A numerical exampleis presented at the end of the note to illustrate the usage and efficiency ofthe proposed design method of the note. Related development will be introduced.