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Date:2019-03-12

Indexed by:Journal Article

Date of Publication:2018-05-01

Journal:INTERNATIONAL JOURNAL OF BIOMATHEMATICS

Included Journals:SCIE

Volume:11

Issue:4

ISSN:1793-5245

Key Words:Non linear hybrid system; linear variational system; fundamental matrix solution; strong stability

Abstract: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.