School of Mathematical Sciences, Dalian University of Technology Dalian, 116024 Liaoning, China; School of Energy and Power Engineering, Dalian University of Technology Dalian, 116024 Liaoning, China
School of Mathematical Sciences, Dalian University of Technology Dalian, 116024 Liaoning, China; School of Energy and Power Engineering, Dalian University of Technology Dalian, 116024 Liaoning, China; School of Life Science and Biotechnology, Dalian University of Technology Dalian, 116024 Liaoning, China
In this paper, we consider a nonlinear multi-stage dynamic system to characterize batch culture. We construct corresponding linear variational system for the solution to the multi-stage system, also prove the boundedness of fundamental matrix solutions for the linear variational system. On this basis, we prove strong stability with respect to perturbance of initial state vector for the multi-stage system through the application of such boundedness. From extensive simulation study, it is observed that the strong stability is highly satisfactory.
Zhang, J., Yuan, J., Feng, E., Yin, H., & Xiu, Z. (2016). Strong Stability of a Nonlinear Multi-Stage Dynamic System in Batch Culture of Glycerol Bioconversion to 1,3-Propanediol. Mathematical Modelling and Analysis, 21(2), 159-173. https://doi.org/10.3846/13926292.2016.1142481
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