title: Exponential convergence analysis of uncertain genetic regulatory networks with time-varying delays.
abstract: This study is concerned with the problem of exponential convergence of uncertain genetic regulatory networks with time-varying delays in the case of the unknown equilibrium point. The system׳s uncertainties are modeled as a structured linear fractional form. Novel stability criteria are obtained by using the lower bound lemma together with Jensen inequality lemma. In order to get rid of the rigorous constraint that the derivatives of time-varying delays must be less than one, a new approach is introduced by improving Lyapunov-Krasovskii functional rather than using the traditional free-weighting matrices. Finally, numerical examples are presented to demonstrate the effectiveness of the theoretical results.
authors.affiliation: School of Sciences, Tianjin Polytechnic University, Tianjin 300130, PR China; School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: wenqinwang123@163.com.
authors.forename: Wenqin
authors.initials: W
authors.lastname: Wang
authors.affiliation: The Department of Electrical and Computer Engineering, The University of Auckland, Private Bag, 92019 Auckland, New Zealand.
authors.forename: Sing Kiong
authors.initials: SK
authors.lastname: Nguang
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China; Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Shouming
authors.initials: S
authors.lastname: Zhong
authors.affiliation: Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China; School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China.
authors.forename: Feng
authors.initials: F
authors.lastname: Liu
mesh_terms: D000818:Animals; D003198:Computer Simulation; D005786:Gene Expression Regulation / Q000235:genetics*; D053263:Gene Regulatory Networks / Q000235:genetics*; D006801:Humans; D008957:Models, Genetic; D017711:Nonlinear Dynamics; D020543:Proteome / Q000235:genetics*; D015398:Signal Transduction / Q000235:genetics; D014157:Transcription Factors / Q000235:genetics*; D014158:Transcription, Genetic / Q000235:genetics*
chemical_list: D020543:Proteome; D014157:Transcription Factors
keywords: Genetic regulatory network; Linear matrix inequality; Lyapunov–Krasovskii functional; Parameter uncertainty; Time-varying delay