Xinghua Zhang
College of computer and Information Engineering, Heilongjiang Institute of Science and Technology, 150022, Harbin, China
Jinmei Xiao
School of Mathematical Science, Heilongjiang University, 150080, Harbin, China
Shaochun Cui
School of Mathematical Science, Heilongjiang University, 150080, Harbin, China
Yantao Wang
School of Mathematical Science, Heilongjiang University, 150080, Harbin, China
Xian Zhang
School of Mathematical Science, Heilongjiang University, 150080, Harbin, China
ABSTRACT
This study focuses on robust stability analysis for uncertain genetic regulatory networks (GRNs) with time-varying delays. Firstly, robust stability criteria for uncertain GRNs with time-varying delays are presented by combining Lyapunov functional approach, reciprocally convex approach and linear matrix inequality technique. Since triple-integral terms and cross products of double-integral terms are introduced into our Lyapunov-Krasovskii functional and a new method is used to estimate its derivatives, the obtained delay-range-dependent robust asymptotical stability criteria for uncertain GRNs with time-varying delays may be less conservative. Secondly, stability criteria for GRNs with the time-varying delays are investigated. Finally, numerical examples are provided to show the applicability of the proposed approach.
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How to cite this article
Xinghua Zhang, Jinmei Xiao, Shaochun Cui, Yantao Wang and Xian Zhang, 2013. Robust Stability Analysis for Uncertain Genetic Regulatory Networks with Time-varying
Delays. Information Technology Journal, 12: 4417-4425.
DOI: 10.3923/itj.2013.4417.4425
URL: https://scialert.net/abstract/?doi=itj.2013.4417.4425
DOI: 10.3923/itj.2013.4417.4425
URL: https://scialert.net/abstract/?doi=itj.2013.4417.4425
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