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无需申请送彩金网站报告Global Stability of Feedback Systems with Multiplicative Noise on the Nonnegative Orthant

2019-09-12   审核人:

报 告 人:吕翔 副教授

主 持 人:张晓颖

时    间:2019年9月17日 10:00-11:00

地    点:第三教学楼五楼大数据实验室

主办单位:理学院

报告人简介:吕翔,男,副教授。现主持国家自然科学基金面上项目一项,已完成国家自然科学基金青年项目一项,曾入选上海市青年科技英才“扬帆计划”和 上海市教委“晨光计划”,获得过上海市研究生优秀成果(博士学位论文)。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无需申请送彩金网站论文多篇。

观点综述:We investigate the dynamical behavior of pull-back trajectories for feedback systems with multiplicative noise and prove that there exists a globally stable positive random equilibrium in the nonnegative orthant $\mathbb{R}^d_+$, where the global stability means that all pull-back trajectories originating from nonnegative orthant converge to this positive random equilibrium almost surely. 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.

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