No Access

PASSIVE CONTROL OF HUMAN BODY COMPLEX SINGULAR SYSTEMS

PEIYONG LIU

College of Sciences, Northeastern University, Shenyang 110819, P. R. China

Search for more papers by this author

QINGLING ZHANG

College of Sciences, Northeastern University, Shenyang 110819, P. R. China

Search for more papers by this author

LI YANG

Department of Mathematics, Liaoning University, Shenyang 110000, P. R. China

Search for more papers by this author

, and

CHAO LIU

Institute of Systems Sciences, Northeastern University, Shenyang 110819, P. R. China

Search for more papers by this author

https://doi.org/10.1142/S1793524513500228Cited by:0 (Source: Crossref)

Abstract

Due to the complexity of interaction among constituents inside the whole system, it is difficult to establish accurate mathematics models to describe and analyze the complex systems exactly. There are few attempts concerning on the moving process of endocrine disruptor in human bodies, which have been the polluted material worldwide related to the reproduction, existence and development of human being. Focusing on such two challenging issues, a multi-compartment model of endocrine disruptor Benzene moving in the human body complex system is established in this paper. Furthermore, passivity of this model is described systematically. A feedback controller for this descriptor biological complex system is used under the station of strict passivity, and an example of the controller is given for a particular instantiation of the model.

Keywords:

AMSC: 93C95

Remember to check out the Most Cited Articles in IJB!

Check out new Biomathematics books in our Mathematics 2018 catalogue!
Featuring author Frederic Y M Wan and more!

References

M. N. Belura and H. L. Trentelmanb , Systems Control Lett. 51 , 247 ( 2004 ) . Crossref, Web of Science, Google Scholar
E. Diamanti-Kandarakis et al. , Endocr. Rev. 30 , 293 ( 2009 ) . Crossref, Web of Science, Google Scholar
X. Z. Dong and Q. L. Zhang , Control Theory Appl. 21 , 517 ( 2004 ) . Google Scholar
X. Z. Dong , Q. L. Zhang and L. C. Zhao , Int. J. Biomath. 19 , 185 ( 2004 ) . Web of Science, Google Scholar
E. Fridman and U. Shaked , IEEE Trans. Automat. Control 47 , 664 ( 2002 ) . Crossref, Web of Science, Google Scholar
P. T. C. Harrison , Sci. Total Environ. 205 , 97 ( 1997 ) . Crossref, Web of Science, Google Scholar
B. Jimenez , Trend. Anal. Chem. 16 , 596 ( 1997 ) . Crossref, Web of Science, Google Scholar
S. E. Jrgensen, Fundamentals of Ecological Modeling (Translation Press, Shanghai, 1988) pp. 280–282. Google Scholar
G. F. Li and H. Y. Li , Chinese Phys. 14 , 2379 ( 2005 ) . Crossref, Google Scholar
P. Y. Liu , Q. L. Zhang and L. Yang , IEEE Trans. Circuits Systems I 56 , 122 ( 2008 ) . Web of Science, Google Scholar
P. Y. Liu , Q. L. Zhang and Y. Zhang , Control Engrg. China 12 , 109 ( 2005 ) . Google Scholar
W. Mitchell, Complexity: The Emerging Science at the Edge of Order and Chaos (Simon and Schuster, New York, 1992) pp. 1–10. Google Scholar
K. Tsuguchika , Biosystems 55 , 23 ( 2000 ) . Crossref, Web of Science, Google Scholar
G. F. Warren , Environ. Toxicol. Phar. 12 , 75 ( 2002 ) . Crossref, Web of Science, Google Scholar
K. Werner , Sci. Total Environ. 225 , 59 ( 1999 ) . Crossref, Web of Science, Google Scholar
S. L. Xie and L. H. Xie , Systems Control Lett. 29 , 255 ( 1997 ) . Crossref, Web of Science, Google Scholar
D. M. Yang and Q. L. Zhang, Singular System (Science Press, Beijing, 2004) pp. 1–12. Google Scholar
D. M. Yang and Q. L. Zhang , J. Northeast. Univ. Nat. Sci. 25 , 310 ( 2004 ) . Google Scholar
L. Yu and H. T. Pan , Acta Automat. Sinica 24 , 368 ( 1998 ) . Google Scholar
S. Y. Zhang , J. Qingdao Univ. 16 , 25 ( 2001 ) . Google Scholar