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Indexed by:期刊论文

Date of Publication:2008-01-01

Journal:4th International Conference on Mathematical Biology (ICMB-4)

Included Journals:SCIE、CPCI-S、Scopus

Volume:38

Issue:5,SI

Page Number:1481-1491

ISSN No.:0035-7596

Key Words:Optimality function; optimization algorithm; convergence

Abstract:Based on the producing 1, 3-propanediol from microorganism continuous fermentation, we study the algorithm and its convergence for the optimal model in this paper. First, taking the zero of the optimality function as the terminal criteria, an algorithm for the discrete time system of the optimal model is given with the step-size determined by Armijo line search and the search direction by gradient method. By the result that the discrete time system converges to the continuous time optimal model, the optimality function of the discrete time system is a consistent approximation to the one of the continuous time optimal model and an algorithm for the optimal model is given too. The convergence of the algorithm is proved. At last, it shows that the optimal model describes the experiment correctly and the algorithm is feasible by comparing the computing value with the dates in laboratory.