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论文类型：期刊论文
发表时间：2016-03-03
发表刊物：MATHEMATICAL MODELLING AND ANALYSIS
收录刊物：SCIE
卷号：21
期号：2
页面范围：159-173
ISSN号：1392-6292
关键字：nonlinear multi-stage system; fundamental matrix solution; linear variational system; strong stability; 93C10; 37C75
摘要：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.