主講人：胡軍浩 中南民族大學(xué)教授

時(shí)間：2023年5月17日16：30

地點(diǎn)：三號(hào)樓332

舉辦單位：數(shù)理學(xué)院

主講人介紹：胡軍浩, 男，博士, 博士后經(jīng)歷，教授，碩士生導(dǎo)師，中南民族大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)學(xué)院院長(zhǎng)。2007年畢業(yè)于華中科技大學(xué)，獲理學(xué)博士學(xué)位。2008年至2010年, 在華中科技大學(xué)從事博士后研究。 2011年至2012年, 在英國(guó)Strathclyde大學(xué)和Swansea大學(xué)從事博士后研究。2014年被中南民族大學(xué)聘為教授。主要研究領(lǐng)域?yàn)殡S機(jī)系統(tǒng)理論與應(yīng)用，動(dòng)力系統(tǒng)。主持國(guó)家自然科學(xué)基金面上項(xiàng)目、國(guó)家自然科學(xué)基金青年項(xiàng)目、湖北省自然科學(xué)基金、國(guó)家博士后基金和中南民族大學(xué)?？蒲许?xiàng)目等，參加國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目。已在國(guó)內(nèi)外學(xué)術(shù)期刊上發(fā)表論文50余篇。獲得湖北省自然科學(xué)獎(jiǎng)（三等獎(jiǎng)）。

內(nèi)容介紹：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 paper aims to determine whether or not a stochastic state feedback control can make a given non- linear 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 paper initiates the study in this direction.