講座內容：Stabilization in Distribution of Hybrid Systems by Intermittent Noise
講座人：毛學榮教授
講座時間🐖：11月19日 9:30-10:30
會議地點：現代交通中心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.
簡介：
毛學榮👶，英國Strathclyde大學數學與統計系終身教授，愛丁堡皇家學會（即蘇格蘭皇家科恒达）院士。也是教育部“長江學者講座教授”和教育部“海外名師”🎮，獲得英國沃弗森研究功勛獎。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。毛學榮教授是國際知名的隨機分析和隨機控製領域的專家，是現代隨機穩定性領域的奠基人，其出版的專著和論文被相關領域的學者廣泛引用，在概率論、隨機分析和隨機控製領域知名期刊發表論文300余篇🧛🏼，均篇他引100余次。他擅長隨機分析🌉、隨機系統數值計算和隨機系統控製理論，在對隨機系統處理方面，提出了一系列開創性的方法與技巧，很有特色💇🏼♂️🏃➡️，被廣泛采用和推崇。
