学术陈诉—Global Stability of Feedback Systems with Multiplicative Noise on the Nonnegative Orthant-长春大学欢送您!

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学术陈诉Global Stability of Feedback Systems with Multiplicative Noise on the Nonnegative Orthant

2019-09-12   考核人:

报 告 人:吕翔 副传授

主 持 人:张晓颖

时    间:2019年9月17日 10:00-11:00

地    点:第三讲授楼五楼大数据实行室

主理单元:理学院

陈诉人简介:吕翔,男,副传授。现掌管国度天然迷信基金面上项目一项,已完成国度天然迷信基金青年项目一项,曾当选上海市青年科技英才“扬帆方案”和 上海市教委“晨曦方案”,取得过上海市研讨生良好效果(博士学位论文)。现在次要研讨偏向:随机动力条理和随机微分方程,曾经在SIAM Journal on Control and Optimization等国际威望期刊发布学术论文多篇。

观念综述: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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