冯恩民

Professor  

Gender:Male

Alma Mater:大连工学院

School/Department:数学科学学院

E-Mail:


Paper Publications

The optimal properties of nonlinear bilevel multi-stage dynamic system

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Date:2019-03-12

Indexed by:Conference Paper

Date of Publication:2006-06-21

Included Journals:Scopus、CPCI-S、EI

Volume:1

Page Number:1057-+

Key Words:multi-stage dynamic system; microbial fermentation; parameter identification; necessary condition for optimality

Abstract:For a kind of Nonlinear multi-stage dynamic system and the properties its right function has, the existence and continuity with respect to the parameters of the solution have been discussed. We decompose the identification problem into bilevel multi-stage optimal control problem by the different parameter styles(time parameters and system parameters), and both of them are equivalence. Applying semi-infinite optimization and uniformly convex approximate,etc.,we deduce the existence of optimal solution and necessary condition for optimality for the both original identification problem and bilevel multi-stage optimal control subproblems respectively. And it has been successfully applied to produce 1,3-propanediol in fermentation process(waiting for publication in another paper).

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