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|Title:||Robust gene circuit control design for time-delayed genetic regulatory networks without SUM regulatory logic|
|Citation:||IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2018; 15(6):2086-2093|
|Hongmei Jiao, Liping Zhang, Qikun Shen, Junwu Zhu, and Peng Shi|
|Abstract:||This paper investigates the gene circuit control design problem of time-delayed genetic regulatory networks. In the genetic regulatory networks, the time delays are unknown constants, and the genetic regulatory is not conventional SUM regulatory logic and can be modeled to be an unknown nonlinear function of the time-delayed states of the other genes in a cell. By Lyapunov stability, a novel adaptive gene circuit control design approach is proposed for the genetic regulatory networks, where the unknown time delays are estimated online by adaptive algorithms and the unknown regulatory functions are approximated by neural networks. The design approach in this paper is delay-dependent and has less conservatism than the delay-independent approach. From theoretical analysis, the closed-loop system is asymptotically stable and all the signals in the system converge to an adjustable neighborhood of the origin. Finally, a numerical example is given to show the effectiveness of the new design approach.|
|Keywords:||Genetic regulatory networks; gene circuit control design; time delay|
|Rights:||© 2018 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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