Journal
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
Volume 14, Issue 4, Pages 868-879Publisher
IEEE COMPUTER SOC
DOI: 10.1109/TCBB.2016.2552519
Keywords
Genetic regulatory networks (GRNs); reaction-diffusion terms; finite-time stability; time-varying delays
Categories
Funding
- National Natural Science Foundation of China [11371006, 61525303]
- Top-Notch Young Talents Program of China
- Heilongjiang Outstanding Youth Science Fund [JC201406]
- Fok Ying Tung Education Foundation [141059]
- Natural Science Foundation of Heilongjiang Province [F201326, A201416]
- Fund of Heilongjiang Education Committee [12541603]
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This paper is concerned with the finite-time stability problem of the delayed genetic regulatory networks (GRNs) with reaction-diffusion terms under Dirichlet boundary conditions. By constructing a Lyapunov-Krasovskii functional including quad-slope integrations, we establish delay-dependent finite-time stability criteria by employing the Wirtinger-type integral inequality, Gronwall inequality, convex technique, and reciprocally convex technique. In addition, the obtained criteria are also reaction-diffusion-dependent. Finally, a numerical example is provided to illustrate the effectiveness of the theoretical results.
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