报告人：Xuerong Mao（毛学荣）（英国Strathclyde大学）

邀请人：吴付科

报告时间：2023年7月14日（星期五）9:00-10:30

报告地点：科技楼南楼711室

报告题目：Stabilisation in Distribution of Hybrid Ordinary Differential Equations by Periodic Noise

报告摘要：Many systems in the real world are periodic due to periodic phenomena in nature. Periodic hybrid stochastic differential equations are often used to model them. In many situations, it is inappropriate to study whether the solutions of periodic hybrid stochastic differential equations will converge to an equilibrium state (say, 0 or the trivial solution) but more appropriate to discuss whether the probability distributions of the solutions will converge to a stationary distribution, known as stability in distribution. This paper aims to determine whether or not a periodic stochastic state feedback control can make a given nonlinear periodic hybrid differential equation, which is not stable in distribution, to become stable in distribution. We will refer to this problem as stabilisation in distribution by periodic noise. There is little known on this problem so far. This paper initiates the study in this direction. This is a joint work with Arifah Bahar and Ran Dong.

报告人简介：毛学荣，英国斯克莱德大学数学与统计系终身教授，英国爱丁堡皇家学会院士，获得英国沃弗森研究功勋奖，多个国家级人才荣誉。毛学荣教授是国际随机分析和随机控制领域的知名学者，是现代随机稳定性领域的奠基人，其出版的专著和论文被该领域学者广泛引用，在概率论、随机分析和随机控制领域杂志发表论文300 余篇，均篇他引100 余次。近日，Guide2Research 发布了全球数学领域顶尖科学家榜单，他列英国第1位，全球第93 位。