報告人：毛學榮(英國Strathclyde大學)

報告題目：Stabilisation in Distribution of Hybrid Systems by Intermittent Noise

報告摘要：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 stabilisation in distribution by noise or stochastic stabilisation in distribution. Although the stabilisation by noise in the sense of almost surely exponential stability of the equilibrium state has been well studied, there is little known on the stabilisation 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.

報告時間：2024年7月18日（星期四）14:00-15:30

報告地點：科技樓南樓706室

邀請人：吳付科

報告人簡介：毛學榮，英國斯克萊德大學數學與統計系終身教授，英國愛丁堡皇家學會院士，獲得英國沃弗森研究功勳獎，教育部長江學者“講座教授”，教育部“海外名師”。毛學榮教授是國際随機分析和随機控制領域的知名學者，是現代随機穩定性領域的奠基人，其出版的專著和論文被該領域學者廣泛引用，在概率論、随機分析和随機控制領域雜志發表論文300 餘篇，均篇他引100 餘次。近日，Guide2Research 發布了全球數學領域頂尖科學家榜單，他列英國第1位，全球第93 位。