修志龙

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:生物工程学院

学科:生物化工. 生物工程与技术

联系方式:zhlxiu@dlut.edu.cn

电子邮箱:zhlxiu@dlut.edu.cn

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Strong stability of an optimal control hybrid system in fed-batch fermentation

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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.