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Advances in Mathematical Physics
Volume 2017, Article ID 5757943, 6 pages
Research Article

Robust Genetic Circuit Design: A Mixed and IQC Analysis

1School of Automation, Huazhong University of Science and Technology, Wuhan, China
2Centre for Synthetic Biology and Innovation, Imperial College London, London, UK
3School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China

Correspondence should be addressed to Xin He; nc.ude.tsuh@hnix

Received 7 January 2017; Revised 12 March 2017; Accepted 26 March 2017; Published 6 April 2017

Academic Editor: Antonio Scarfone

Copyright © 2017 Ruijuan Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper considers the problem of designing a genetic circuit which is robust to noise effect. To achieve this goal, a mixed and Integral Quadratic Constraints (IQC) approach is proposed. In order to minimize the effects of external noise on the genetic regulatory network in terms of norm, a design procedure of Hill coefficients in the promoters is presented. The IQC approach is introduced to analyze and guarantee the stability of the designed circuit.