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论文类型：期刊论文
发表时间：2018-05-01
发表刊物：INTERNATIONAL JOURNAL OF BIOMATHEMATICS
收录刊物：SCIE
卷号：11
期号：4
ISSN号：1793-5245
关键字：Non linear hybrid system; linear variational system; fundamental matrix solution; strong stability
摘要：In this paper, we consider a nonlinear hybrid dynamic (NHD) system to describe fedbatch culture where there is no analytical solutions and no equilibrium points. Our goal is to prove the strong stability with respect to initial state for the NHD system. To this end, we construct corresponding linear variational system (LVS) for the solution of the NHD system, also prove the boundedness of fundamental matrix solutions for the LYS. On this basis, the strong stability is proved by such boundedness.