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Date:2019-03-13

Indexed by:Journal Article

Date of Publication:2016-03-03

Journal:MATHEMATICAL MODELLING AND ANALYSIS

Included Journals:SCIE

Volume:21

Issue:2

Page Number:159-173

ISSN:1392-6292

Key Words:nonlinear multi-stage system; fundamental matrix solution; linear variational system; strong stability; 93C10; 37C75

Abstract: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.