?????? 湖南师范大学朱全新教授受袁海燕副院长邀请将于2022年9月22日16:00在腾讯会议上作题目为《Stability analysis for a class of stochastic delay nonlinear systems driven by G-Brownian motion》的学术报告,会议号:959799397。
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报告简介:
In this talk, we first introduce the background, definition and properties of G-Brownian motion, and then present stochastic differential equations driven by G-Brownian motion. In comparison to the standard?Gaussian noise, G-Brownian motion has more versatile and?interesting with a wider range of applications. However,?G-Brownian motion makes the analysis more difficult owing to its?complex structure. We attempt to?overcome this difficulty and discuss the exponential stability problem for a class of stochastic delaydifferential equations (SDNSs) driven by G-Brownian motion. Different from the traditional methods, we use a new approach: stochastic delay feedback controls. We firstly compare the SDNS with the corresponding stochastic nonlinear system (SNS) instead of studying the stability of the SDNS directly. Then, we impose the condition on the SNS to ensure the pth moment exponential stability of the SNS. Furthermore, we show that there is a positive constant τ* such that the SDNS is also pth moment exponentially stable provided τ < τ*.??In particular, we give an implicit lower bound for τ*?which can be computed numerically.
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报告人简介:
朱全新,博士,湖南师范大学潇湘学者特聘教授, 博士生导师, 湖南省科技创新领军人才、湖南省芙蓉学者特聘教授、德国洪堡基金高访学者,计算与随机数学教育部重点实验室副主任,复杂系统的控制与优化湖南省高校重点实验室主任,IEEE高级会员。主要从事马氏过程、随机系统的稳定与控制理论及应用研究工作, 取得了系列重要进展, 在控制领域国际顶级杂志Automatica、IEEE Transactions on Automatic Control等刊物发表SCI收录论文200余篇。获湖南省自然科学奖一等奖(第一完成人)、江苏省高校自然科学奖一等奖(第一完成人)、2018~2021连续四年全球高被引学者、2020-2022连续3年全球顶尖前10万科学家榜单、2014~2021连续八年爱思唯尔中国高被引学者榜单等。主持国家自然科学基金项目5项,省部级项目9?项,作为第二参与人承担国家自然科学基金重点项目1项。担任中国工程概率统计学会第九届常务理事、中国工业与应用数学学会系统与控制数学专业委员会委员、中国自动化学会自适应动态规划与强化学习专业委员会委员、Applicable Analysis等5个国际SCI刊物的副主编或编委。