Date of Publication:2017-01-01

Journal:运筹学学报

Issue:2

Page Number:46-56

ISSN No.:1007-6093

Abstract:In this paper,we propose a nonlinear dynamical system of batch fermentation with the continuous piecewise linear functions as parameters,and investigate the existence of solution about the nonlinear dynamical system.Based on a smooth curve which is fitted to the experimental data,a new identifiable model was established by using the continuous piecewise linear function as optimization parameters.According to the relationship between the state variables and identification function,an efficient algorithm is developed to solve the identification system,and the convergence of optimization algorithm is also analysed.Finally,numerical results are discussed to illustrate the validity of the present model.

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