Parameter identification of genetic regulatory network with time-varying delays via adaptive synchronization method

被引:4
作者
Liu, Chunlin [1 ,2 ]
Wang, Fei [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Hefei, Peoples R China
关键词
Parameter identification; Genetic regulatory network; Adaptive synchronization; PARTICLE SWARM OPTIMIZATION; INFINITY STATE ESTIMATION; NEURAL-NETWORKS; STABILITY; STABILIZATION; BIFURCATION; SYSTEM;
D O I
10.1186/s13662-020-2537-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the parameter identification of gene regulatory network with time-varying delay is studied. Firstly, we introduce the differential equation model of gene regulatory network with unknown parameters and time delay. Secondly, for the unknown parameters in the time-varying model, a corresponding system with adaptive parameters and adaptive controller is introduced, and the parameter identification problem of the original model is transformed into the synchronization problem of the two systems. Thirdly, we design an effective adaptive controller and an adaptive law for parameters and construct a Lyapunov functional. Then we give a strict theoretical proof that the adaptive parameters can converge to unknown parameters by Barbalat's lemma. Finally, a numerical example is given to verify the validity of the theoretical results.
引用
收藏
页数:15
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