一、题目

Stability of Chemical Reaction Networks

二、主讲人

郜传厚

三、摘要

In this talk, we will introduce a method to generate the Lyapunov function for stability analysis for chemical reaction networks. Based on the Chemical Master Equation, we derive the Lyapunov Function partial differential equations (PDEs), whose solution approximates the scaling non-equilibrium potential and serves as the candidate Lyapunov function for the given network. We further prove that for any chemical reaction network the solution (if exists) of the PDEs is dissipative. Moreover, the proposed method of Lyapunov Function PDEs is qualified for analyzing the asymptotic stability of complex balanced networks, all networks with 1-dimensional stoichiometric subspace and some special networks with more than 2-dimensional stoichiometric subspace if some moderate conditions are added. Several examples are presented to illustrate the efficiency of the method.

四、主讲人简介

郜传厚，男，浙江大学数学科学学院教授、博士生导师，现任浙江大学数学科学学院副院长。主要从事数学系统生物学、热力学系统控制、采样系统控制、机器学习和优化研究，近年来已承担7项国家自然科学基金，5项省部级项目。在国内外重要期刊/会议上发表相关学术论文近60篇，包括SIAM Journal of Applied Mathematics, SIAM Journal of Applied Dynamical Systems, ESAIM: Control, Optimisation and Calculus of Variations, IEEE Transactions on Automatic Control等国际著名期刊。现任IEEE Transactions on Automatic Control期刊Associate Editor；曾担任IEEE Transactions on Industrial Informatics, Journal of Applied Mathematics, ISIJ International等杂志客座编委。

五、邀请人

冯俊娥 数学学院教授

六、时间

8月26日（周四）9:00-10:00

七、地点

腾讯会议 ID：243 192 861

八、主办方

山东大学数学学院