Finite-Time Stability Analysis of Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays.
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.
Xiaofei
X
Fan
Xian
X
Zhang
Ligang
L
Wu
Michael
M
Shi
D000465:Algorithms; D019295:Computational Biology / Q000379:methods*; D004058:Diffusion; D053263:Gene Regulatory Networks / Q000235:genetics*; D008957:Models, Genetic; D013997:Time Factors