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特邀上海师范大学吕翔博士来校作学术报告
发布日期: 2017-06-12   浏览次数:   编辑: 

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

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.

报告时间:2017615日周四下午200-330

报告地点:尚贤楼108

吕翔简历:男,博士,2003年至2010年在安徽师范大学数学系学习,获学士和硕士学位,2010年至2013年在上海师范大学数学系学习,获博士学位,20137月留校在上海师范大学数学系工作。现主持国家自然科学基金青年项目,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)和安徽省第四届优秀硕士学位论文。目前主要研究方向:随机动力系统和随机微分方程,已经在SIAM Journal on Control and Optimization等国际权威期刊发表高质量学术论文逾十篇。

数学与统计学院

2017612

 




 

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