讲座内容：Stabilization in Distribution of Hybrid Systems by Intermittent Noise
讲座人：毛学荣教授
讲座时间：11月19日 9:30-10:30
会议地点：现代交通中心7950
摘要：
For many stochastic hybrid systems in the real world, it is inappropriate to study if their solutions will converge to an equilibrium state (say, 0 by default) but more appropriate to discuss if the probability distributions of the solutions will converge to a stationary distribution. The former is known as the asymptotic stability of the equilibrium state while the latter the stability in distribution. This talk aims to determine whether or not a stochastic state feedback control can make a given nonlinear hybrid differential equation, which is not stable in distribution, to become stable in distribution. We will refer to this problem as stabilization in distribution by noise or stochastic stabilization in distribution. Although the stabilization by noise in the sense of almost surely exponential stability of the equilibrium state has been well studied, there is little known on the stabilization in distribution by noise. This talk initiates the study in this direction. This talk is based on the joint work with Wei Mao and Junhao Hu: IEEE Trans. Auto. Control. 68(8) (2023), 4919-4924.
简介：
毛学荣，英国Strathclyde大学数学与统计系终身教授，爱丁堡皇家学会（即苏格兰皇家科学院）院士。也是教育部“长江学者讲座教授”和教育部“海外名师”，获得英国沃弗森研究功勋奖。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。毛学荣教授是国际知名的随机分析和随机控制领域的专家，是现代随机稳定性领域的奠基人，其出版的专著和论文被相关领域的学者广泛引用，在概率论、随机分析和随机控制领域知名期刊发表论文300余篇，均篇他引100余次。他擅长随机分析、随机系统数值计算和随机系统控制理论，在对随机系统处理方面，提出了一系列开创性的方法与技巧，很有特色，被广泛采用和推崇。
