學術動態

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學術報告Global Stability of Feedback Systems with Multiplicative Noise on the Nonnegative Orthant

2019-09-12   審核人:

報 告 人:呂翔 副教授

主 持 人:張曉穎

時    間:2019年9月17日 10:00-11:00

地    點:第三教學樓五樓大數據實驗室

主辦單位:理學院

報告人簡介:呂翔,男广西快乐十分开奖结果,副教授」阄骺炖质挚苯峁?,F主持國家自然科學基金面上項目一項广西快乐十分开奖结果,已完成國家自然科學基金青年項目一項,曾入選上海市青年科技英才“揚帆計劃”和 上海市教委“晨光計劃”,獲得過上海市研究生優秀成果(博士學位論文)。目前主要研究方向:隨機動力系統和隨機微分方程广西快乐十分开奖结果,已經在SIAM Journal on Control and Optimization等國際權威期刊發表學術論文多篇。

觀點綜述: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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