报告题目：Stabilization by Noise
报告摘要： In this talk, a new type stability theorem 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 finding 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.
专家简介：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.
报告题目：Input-to-State Stability of Time-Varying Impulsive Delayed Systems
报告摘要：This talk investigates the problems of input-to-state stability (ISS) and integral input-to-state stability (iISS) of time-varying impulsive delayed systems (including continuous-time time-varying impulsive deterministic delayed Systems，continuous-time time-varying impulsive stochastic delayed systems, discrete-time time-varying impulsive delayed systems). Some criteria on ISS/iISS which are effective for destabilizing impulses and stabilizing impulses are derived from advanced linear inequalities under average impulsive interval constraints. The conditions which require the coefficients of the linear inequalities on LKFs and LRFs to be constants in the existing results on ISS/iISS of impulsive delayed systems are weakened. In this topic, with the aid of the notions of uniformly exponentially stable function and average impulsive interval, the results allow the coefficients of the developed linear inequalities on LKFs and LRFs to be time-varying functions which can take both positive and negative values, and the impulsive intervals of an impulsive sequence are allowed to have arbitrarily small lower bound and enough big upper bound simultaneously. Several examples are presented to illustrate the effectiveness of our results.