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学术报告
学术报告
上海师范大学吕翔博士学术报告通知
发布人:系统管理员??威尼斯官方网站:2017-10-23?? 浏览次数:118

应数学系刘胜强教授的邀请,上海师范大学数理信息学院吕翔博士将于1025-27日来访数学系并做学术报告。欢迎感兴趣的老师和同学参加。

 

人:吕翔 博士(上海师范大学数理信息学院)

报告题目:Small-gain theorems for nonlinear stochastic systems with inputs and outputs II: Multiplicative white noise case

报告时间:20171026日下午4:00-5:30

报告地点:格物楼503

报告摘要:This paper is a continuation of the paper [SIAM J. Control Optim., 54 (2016), pp. 2383–2402], which focuses on exploring the global stability of nonlinear stochastic feedback systems on the nonnegative orthant driven by multiplicative white noise and presenting a couple of small-gain results. We investigate the dynamical behavior of pull-back trajectories for stochastic control systems and prove that there exists a unique globally attracting positive random equilibrium for those systems whose output functions either possess bounded derivatives or are uniformly bounded away from zero. Our results can be applied to well-known stochastic Goodwin negative feedback system, Othmer-Tyson positive feedback system and Griffith positive feedback system as well as other stochastic cooperative, competitive and predator-prey systems. This is a joint work with Prof. Jifa Jiang.

                                                                                                                                         

报告人简介吕翔,研究方向为随机动力系统和随机微分方程。于2007年与2010年在安徽师范大学数学系分别获得学士和硕士学位,2010-2013年在上海师范大学数学系师从蒋继发教授攻读博士学位, 20137月毕业留校工作至今。现主持国家自然科学基金青年项目一项,入选2014年度(首届)上海市青年科技英才扬帆计划2014年度晨光计划,并且获得了2014年上海市研究生优秀成果(博士学位论文)。目前主要从事随机动力系统和随机微分方程方向的基础理论研究。先后在SIAM J. Control Optim 等国际权威期刊发表高质量学术论文逾十篇。

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