報(bào)告題目：Stability of stochastic nonlinear systems with semi-Markov switching

報(bào)告人：朱全新 湖南師范大學(xué)  教授 博士生導(dǎo)師

報(bào)告摘要：Switched systems are composed of both continuous-time and discrete-time subsystems. Different from the traditional deterministic switched systems and Markov switching systems, we are concerned with stochastic nonlinear systems with semi-Markov switching. Firstly, we introduce the background of our concerning questions, and some existing results on this topic. Then, we present the definitions and properties of semi-Markov process, as well as the model of semi-Markov switched stochastic system. Next, we present our main result, which removes the previous strong condition: the transition rates are required to be uniformly bounded. Finally, we make some comparisons with some known results on Markov switching systems.

時(shí)間:  3月25日（星期五）下午14: 00-15: 00

地點(diǎn)：騰訊會(huì)議 會(huì)議 ID：480 248 118

專家簡(jiǎn)介：朱全新，博士，湖南師范大學(xué)瀟湘學(xué)者特聘教授, 博士生導(dǎo)師, 湖南省科技創(chuàng)新領(lǐng)軍人才、湖南省芙蓉學(xué)者特聘教授、德國(guó)洪堡基金高訪學(xué)者，計(jì)算與隨機(jī)數(shù)學(xué)教育部重點(diǎn)實(shí)驗(yàn)室副主任，IEEE高級(jí)會(huì)員。主要從事馬氏過(guò)程、隨機(jī)系統(tǒng)的穩(wěn)定與控制理論及應(yīng)用研究工作,取得了系列重要進(jìn)展,在控制領(lǐng)域國(guó)際頂級(jí)雜志Automatica、IEEE Transactions on Automatic Control等刊物發(fā)表SCI收錄論文200余篇,論文被SCI他引5000余次。獲2021年湖南省自然科學(xué)獎(jiǎng)一等獎(jiǎng)、2021年全球頂尖前10萬(wàn)科學(xué)家榜單、2020年前2%頂尖科學(xué)家榜單、2018～2021連續(xù)四年全球高被引學(xué)者、2014～2020連續(xù)七年愛(ài)思唯爾中國(guó)高被引學(xué)者榜單等。主持國(guó)家自然科學(xué)基金項(xiàng)目5項(xiàng)，省部級(jí)項(xiàng)目9項(xiàng)，作為第二參與人承擔(dān)國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目1項(xiàng)。擔(dān)任中國(guó)工程概率統(tǒng)計(jì)學(xué)會(huì)第九屆常務(wù)理事、中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)系統(tǒng)與控制數(shù)學(xué)專業(yè)委員會(huì)委員、中國(guó)自動(dòng)化學(xué)會(huì)自適應(yīng)動(dòng)態(tài)規(guī)劃與強(qiáng)化學(xué)習(xí)專業(yè)委員會(huì)委員、Applicable Analysis等5個(gè)國(guó)際SCI刊物的副主編或編委。