报告人:邓飞其(华南理工大学)

报告题目：Stabilization by noise

报告摘要：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：邓飞其，华南理工大学,教授，1997年6月在华南理工大学的控制理论与控制工程专业取得博士学位，并于1999年11月被华南理工大学聘为教授，同时担任该校系统工程研究所所长。他现在是校学术委员会委员、中国自动化学会控制理论专业委员会委员，同时也是IEEE CSS广州分会的主席。他是《华南理工大学学报》的副主编，是《IEEE Access》AE、《控制理论与应用》、《系统与控制纵横》、《系统工程与电子技术》与《系统工程学报》等期刊编委会成员。他的主要研究方向包括时滞系统、非线性系统和随机系统的稳定性、镇定与鲁棒控制理论。到目前为止，他已经在《IEEE Transactions on Automatic Control》、《Automatica》、《SIAM Journal of Control and Optimization》与《Systems & Control Letters》等期刊发表论文300多篇。

报告时间：2019年4月13日(星期六)下午2:30-3:30

报告地点：科技楼(南楼)602