Strong stability of an optimal control hybrid system in fed-batch fermentation-Reference-Cited by-同舟云学术

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

Published:2018-05 Issue:04 Volume:11 Page:1850045
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Dong Zhenyu¹²³,Tan Bing⁴⁵,Zhang Yuduo⁶,Yuan Jinlong¹⁷^ORCID,Feng Enmin¹,Yin Hongchao²,Xiu Zhilong⁸

Affiliation:

1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China

2. School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China

3. Economics and Technology Research Institute, China National Petroleum Corporation, Beijing 100724, P. R. China

4. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China

5. School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, P. R. China

6. College of Science, Dalian Minzu University, Dalian 116600, Liaoning, P. R. China

7. Department of Mathematics, School of Science, Dalian Maritime University, Dalian 116026, Liaoning, P. R. China

8. School of Life Science and Biotechnology, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China

Abstract

In this paper, we consider a nonlinear hybrid dynamic (NHD) system to describe fed-batch 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 LVS. On this basis, the strong stability is proved by such boundedness.

Funder

National Natural Science Foundation of China

National Science Foundation for the Youth of China

National Science Foundation for the Tianyuan of China

Natural Science Foundation of Shandong Province in China

Fundamental Research Funds for the Central Universities in China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524518500456

Reference30 articles.

1. Robust Optimal Control of a Microbial Batch Culture Process

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