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2022-08-26
Yang, Qi, Chen, Qunbin, Zhang, Pai.  2021.  Strong Stability of Optimal Design for a Time-varying Dynamic System in Batch Culture. 2021 7th Annual International Conference on Network and Information Systems for Computers (ICNISC). :836–841.
In this study, we prove strong stability for a typical time-varying nonlinear dynamic system in batch culture, which is hard to obtain analytical solutions and equilibrium points. To this end, firstly, we construct a linear variational system to the nonlinear dynamic system. Secondly, we give a proof that the fundamental matrix solution to this dynamic system is bounded. Combined with the above two points, the strong stability for the nonlinear dynamic system is proved.